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Finding the Fourth Proportional to 630,159.60, 945,853.80 and 314,972.40

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Solution

The fourth proportional to 630,159.60, 945,853.80 and 314,972.40 is: 472,765.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    630,159.60 : 945,853.80 = 314,972.40 : x
  2. Step 2: Convert to fraction form
    630,159.60/945,853.80 = 314,972.40/x
  3. Step 3: Cross multiply
    630,159.60x = 945,853.80 × 314,972.40
  4. Step 4: Simplify right side
    630,159.60x = 297,917,841,435.12
  5. Step 5: Solve for x
    x = 297,917,841,435.12/630,159.60
  6. Step 6: Final answer
    x = 472,765.70

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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.