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Finding the Fourth Proportional to 616,109.80, 922,350.30 and 459,034.60

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Solution

The fourth proportional to 616,109.80, 922,350.30 and 459,034.60 is: 687,200.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,109.80 : 922,350.30 = 459,034.60 : x
  2. Step 2: Convert to fraction form
    616,109.80/922,350.30 = 459,034.60/x
  3. Step 3: Cross multiply
    616,109.80x = 922,350.30 × 459,034.60
  4. Step 4: Simplify right side
    616,109.80x = 423,390,701,020.38
  5. Step 5: Solve for x
    x = 423,390,701,020.38/616,109.80
  6. Step 6: Final answer
    x = 687,200.08

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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.