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Finding the Fourth Proportional to 650,359.62, 975,875.81 and 471,916.24

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Solution

The fourth proportional to 650,359.62, 975,875.81 and 471,916.24 is: 708,118.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,359.62 : 975,875.81 = 471,916.24 : x
  2. Step 2: Convert to fraction form
    650,359.62/975,875.81 = 471,916.24/x
  3. Step 3: Cross multiply
    650,359.62x = 975,875.81 × 471,916.24
  4. Step 4: Simplify right side
    650,359.62x = 460,531,643,652.19
  5. Step 5: Solve for x
    x = 460,531,643,652.19/650,359.62
  6. Step 6: Final answer
    x = 708,118.44

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Why These Related Problems?

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