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Finding the Fourth Proportional to 969,624, 1,454,593.56 and 286,580.16

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Solution

The fourth proportional to 969,624, 1,454,593.56 and 286,580.16 is: 429,916.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    969,624 : 1,454,593.56 = 286,580.16 : x
  2. Step 2: Convert to fraction form
    969,624/1,454,593.56 = 286,580.16/x
  3. Step 3: Cross multiply
    969,624x = 1,454,593.56 × 286,580.16
  4. Step 4: Simplify right side
    969,624x = 416,857,655,159.77
  5. Step 5: Solve for x
    x = 416,857,655,159.77/969,624
  6. Step 6: Final answer
    x = 429,916.81

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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.