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Finding the Fourth Proportional to 653,549.60, 978,946.68 and 298,862.12

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Solution

The fourth proportional to 653,549.60, 978,946.68 and 298,862.12 is: 447,663.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,549.60 : 978,946.68 = 298,862.12 : x
  2. Step 2: Convert to fraction form
    653,549.60/978,946.68 = 298,862.12/x
  3. Step 3: Cross multiply
    653,549.60x = 978,946.68 × 298,862.12
  4. Step 4: Simplify right side
    653,549.60x = 292,570,080,151.76
  5. Step 5: Solve for x
    x = 292,570,080,151.76/653,549.60
  6. Step 6: Final answer
    x = 447,663.16

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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.