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Finding the Fourth Proportional to 417,715.71, 576,448.14 and 226,729.05

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Solution

The fourth proportional to 417,715.71, 576,448.14 and 226,729.05 is: 312,886.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,715.71 : 576,448.14 = 226,729.05 : x
  2. Step 2: Convert to fraction form
    417,715.71/576,448.14 = 226,729.05/x
  3. Step 3: Cross multiply
    417,715.71x = 576,448.14 × 226,729.05
  4. Step 4: Simplify right side
    417,715.71x = 130,697,539,156.47
  5. Step 5: Solve for x
    x = 130,697,539,156.47/417,715.71
  6. Step 6: Final answer
    x = 312,886.34

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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.