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Finding the Fourth Proportional to 472,048.99, 708,068.13 and 282,562.30

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Solution

The fourth proportional to 472,048.99, 708,068.13 and 282,562.30 is: 423,840.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,048.99 : 708,068.13 = 282,562.30 : x
  2. Step 2: Convert to fraction form
    472,048.99/708,068.13 = 282,562.30/x
  3. Step 3: Cross multiply
    472,048.99x = 708,068.13 × 282,562.30
  4. Step 4: Simplify right side
    472,048.99x = 200,073,359,369.50
  5. Step 5: Solve for x
    x = 200,073,359,369.50/472,048.99
  6. Step 6: Final answer
    x = 423,840.24

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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.