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Finding the Fourth Proportional to 564,461.66, 846,248.60 and 386,429.06

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Solution

The fourth proportional to 564,461.66, 846,248.60 and 386,429.06 is: 579,339.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,461.66 : 846,248.60 = 386,429.06 : x
  2. Step 2: Convert to fraction form
    564,461.66/846,248.60 = 386,429.06/x
  3. Step 3: Cross multiply
    564,461.66x = 846,248.60 × 386,429.06
  4. Step 4: Simplify right side
    564,461.66x = 327,015,051,024.32
  5. Step 5: Solve for x
    x = 327,015,051,024.32/564,461.66
  6. Step 6: Final answer
    x = 579,339.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.