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Finding the Fourth Proportional to 459,281.60, 687,693.60 and 292,164.80

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Solution

The fourth proportional to 459,281.60, 687,693.60 and 292,164.80 is: 437,465.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,281.60 : 687,693.60 = 292,164.80 : x
  2. Step 2: Convert to fraction form
    459,281.60/687,693.60 = 292,164.80/x
  3. Step 3: Cross multiply
    459,281.60x = 687,693.60 × 292,164.80
  4. Step 4: Simplify right side
    459,281.60x = 200,919,863,105.28
  5. Step 5: Solve for x
    x = 200,919,863,105.28/459,281.60
  6. Step 6: Final answer
    x = 437,465.52

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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.