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Finding the Fourth Proportional to 468,613.40, 702,920.10 and 343,275.80

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Solution

The fourth proportional to 468,613.40, 702,920.10 and 343,275.80 is: 514,913.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,613.40 : 702,920.10 = 343,275.80 : x
  2. Step 2: Convert to fraction form
    468,613.40/702,920.10 = 343,275.80/x
  3. Step 3: Cross multiply
    468,613.40x = 702,920.10 × 343,275.80
  4. Step 4: Simplify right side
    468,613.40x = 241,295,459,663.58
  5. Step 5: Solve for x
    x = 241,295,459,663.58/468,613.40
  6. Step 6: Final answer
    x = 514,913.70

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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.