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Finding the Fourth Proportional to 472,047.99, 708,066.63 and 282,561.30

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Solution

The fourth proportional to 472,047.99, 708,066.63 and 282,561.30 is: 423,838.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,047.99 : 708,066.63 = 282,561.30 : x
  2. Step 2: Convert to fraction form
    472,047.99/708,066.63 = 282,561.30/x
  3. Step 3: Cross multiply
    472,047.99x = 708,066.63 × 282,561.30
  4. Step 4: Simplify right side
    472,047.99x = 200,072,227,459.42
  5. Step 5: Solve for x
    x = 200,072,227,459.42/472,047.99
  6. Step 6: Final answer
    x = 423,838.74

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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.