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Finding the Fourth Proportional to 524,824.80, 786,070.80 and 406,111.20

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Solution

The fourth proportional to 524,824.80, 786,070.80 and 406,111.20 is: 608,264.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,824.80 : 786,070.80 = 406,111.20 : x
  2. Step 2: Convert to fraction form
    524,824.80/786,070.80 = 406,111.20/x
  3. Step 3: Cross multiply
    524,824.80x = 786,070.80 × 406,111.20
  4. Step 4: Simplify right side
    524,824.80x = 319,232,155,872.96
  5. Step 5: Solve for x
    x = 319,232,155,872.96/524,824.80
  6. Step 6: Final answer
    x = 608,264.24

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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.