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Finding the Fourth Proportional to 632,056.32, 872,259.84 and 417,384.96

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Solution

The fourth proportional to 632,056.32, 872,259.84 and 417,384.96 is: 576,005.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,056.32 : 872,259.84 = 417,384.96 : x
  2. Step 2: Convert to fraction form
    632,056.32/872,259.84 = 417,384.96/x
  3. Step 3: Cross multiply
    632,056.32x = 872,259.84 × 417,384.96
  4. Step 4: Simplify right side
    632,056.32x = 364,068,138,428.01
  5. Step 5: Solve for x
    x = 364,068,138,428.01/632,056.32
  6. Step 6: Final answer
    x = 576,005.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.