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Finding the Fourth Proportional to 524,009.20, 786,013.80 and 465,948.40

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Solution

The fourth proportional to 524,009.20, 786,013.80 and 465,948.40 is: 698,922.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,009.20 : 786,013.80 = 465,948.40 : x
  2. Step 2: Convert to fraction form
    524,009.20/786,013.80 = 465,948.40/x
  3. Step 3: Cross multiply
    524,009.20x = 786,013.80 × 465,948.40
  4. Step 4: Simplify right side
    524,009.20x = 366,241,872,487.92
  5. Step 5: Solve for x
    x = 366,241,872,487.92/524,009.20
  6. Step 6: Final answer
    x = 698,922.60

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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.