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Finding the Fourth Proportional to 539,327.10, 744,419.43 and 313,045.50

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Solution

The fourth proportional to 539,327.10, 744,419.43 and 313,045.50 is: 432,088.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,327.10 : 744,419.43 = 313,045.50 : x
  2. Step 2: Convert to fraction form
    539,327.10/744,419.43 = 313,045.50/x
  3. Step 3: Cross multiply
    539,327.10x = 744,419.43 × 313,045.50
  4. Step 4: Simplify right side
    539,327.10x = 233,037,152,674.07
  5. Step 5: Solve for x
    x = 233,037,152,674.07/539,327.10
  6. Step 6: Final answer
    x = 432,088.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.