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Finding the Fourth Proportional to 472,461.62, 708,695.09 and 117,475.67

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Solution

The fourth proportional to 472,461.62, 708,695.09 and 117,475.67 is: 176,214.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,461.62 : 708,695.09 = 117,475.67 : x
  2. Step 2: Convert to fraction form
    472,461.62/708,695.09 = 117,475.67/x
  3. Step 3: Cross multiply
    472,461.62x = 708,695.09 × 117,475.67
  4. Step 4: Simplify right side
    472,461.62x = 83,254,426,392.61
  5. Step 5: Solve for x
    x = 83,254,426,392.61/472,461.62
  6. Step 6: Final answer
    x = 176,214.16

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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.