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Finding the Fourth Proportional to 310,851.10, 466,276.65 and 286,356.70

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Solution

The fourth proportional to 310,851.10, 466,276.65 and 286,356.70 is: 429,535.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,851.10 : 466,276.65 = 286,356.70 : x
  2. Step 2: Convert to fraction form
    310,851.10/466,276.65 = 286,356.70/x
  3. Step 3: Cross multiply
    310,851.10x = 466,276.65 × 286,356.70
  4. Step 4: Simplify right side
    310,851.10x = 133,521,442,781.06
  5. Step 5: Solve for x
    x = 133,521,442,781.06/310,851.10
  6. Step 6: Final answer
    x = 429,535.05

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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.