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Finding the Fourth Proportional to 640,938.40, 961,407.60 and 539,461.60

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Solution

The fourth proportional to 640,938.40, 961,407.60 and 539,461.60 is: 809,192.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,938.40 : 961,407.60 = 539,461.60 : x
  2. Step 2: Convert to fraction form
    640,938.40/961,407.60 = 539,461.60/x
  3. Step 3: Cross multiply
    640,938.40x = 961,407.60 × 539,461.60
  4. Step 4: Simplify right side
    640,938.40x = 518,642,482,148.16
  5. Step 5: Solve for x
    x = 518,642,482,148.16/640,938.40
  6. Step 6: Final answer
    x = 809,192.40

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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.