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Finding the Fourth Proportional to 553,781.40, 830,672.10 and 316,929.30

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Solution

The fourth proportional to 553,781.40, 830,672.10 and 316,929.30 is: 475,393.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,781.40 : 830,672.10 = 316,929.30 : x
  2. Step 2: Convert to fraction form
    553,781.40/830,672.10 = 316,929.30/x
  3. Step 3: Cross multiply
    553,781.40x = 830,672.10 × 316,929.30
  4. Step 4: Simplify right side
    553,781.40x = 263,264,327,182.53
  5. Step 5: Solve for x
    x = 263,264,327,182.53/553,781.40
  6. Step 6: Final answer
    x = 475,393.95

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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.