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Finding the Fourth Proportional to 410,948.80, 616,034.40 and 242,598.40

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Solution

The fourth proportional to 410,948.80, 616,034.40 and 242,598.40 is: 363,668.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,948.80 : 616,034.40 = 242,598.40 : x
  2. Step 2: Convert to fraction form
    410,948.80/616,034.40 = 242,598.40/x
  3. Step 3: Cross multiply
    410,948.80x = 616,034.40 × 242,598.40
  4. Step 4: Simplify right side
    410,948.80x = 149,448,959,784.96
  5. Step 5: Solve for x
    x = 149,448,959,784.96/410,948.80
  6. Step 6: Final answer
    x = 363,668.08

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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.