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Finding the Fourth Proportional to 417,417.59, 576,037.74 and 226,432.35

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Solution

The fourth proportional to 417,417.59, 576,037.74 and 226,432.35 is: 312,477.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,417.59 : 576,037.74 = 226,432.35 : x
  2. Step 2: Convert to fraction form
    417,417.59/576,037.74 = 226,432.35/x
  3. Step 3: Cross multiply
    417,417.59x = 576,037.74 × 226,432.35
  4. Step 4: Simplify right side
    417,417.59x = 130,433,579,156.89
  5. Step 5: Solve for x
    x = 130,433,579,156.89/417,417.59
  6. Step 6: Final answer
    x = 312,477.44

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