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Finding the Fourth Proportional to 524,006.10, 786,009.15 and 419,030.10

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Solution

The fourth proportional to 524,006.10, 786,009.15 and 419,030.10 is: 628,545.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,006.10 : 786,009.15 = 419,030.10 : x
  2. Step 2: Convert to fraction form
    524,006.10/786,009.15 = 419,030.10/x
  3. Step 3: Cross multiply
    524,006.10x = 786,009.15 × 419,030.10
  4. Step 4: Simplify right side
    524,006.10x = 329,361,492,725.42
  5. Step 5: Solve for x
    x = 329,361,492,725.42/524,006.10
  6. Step 6: Final answer
    x = 628,545.15

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.