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Finding the Fourth Proportional to 413,493.68, 570,621.28 and 232,205.76

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Solution

The fourth proportional to 413,493.68, 570,621.28 and 232,205.76 is: 320,443.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,493.68 : 570,621.28 = 232,205.76 : x
  2. Step 2: Convert to fraction form
    413,493.68/570,621.28 = 232,205.76/x
  3. Step 3: Cross multiply
    413,493.68x = 570,621.28 × 232,205.76
  4. Step 4: Simplify right side
    413,493.68x = 132,501,547,994.57
  5. Step 5: Solve for x
    x = 132,501,547,994.57/413,493.68
  6. Step 6: Final answer
    x = 320,443.95

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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.