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Finding the Fourth Proportional to 472,357.72, 651,835.02 and 257,493.16

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Solution

The fourth proportional to 472,357.72, 651,835.02 and 257,493.16 is: 355,330.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,357.72 : 651,835.02 = 257,493.16 : x
  2. Step 2: Convert to fraction form
    472,357.72/651,835.02 = 257,493.16/x
  3. Step 3: Cross multiply
    472,357.72x = 651,835.02 × 257,493.16
  4. Step 4: Simplify right side
    472,357.72x = 167,843,059,098.46
  5. Step 5: Solve for x
    x = 167,843,059,098.46/472,357.72
  6. Step 6: Final answer
    x = 355,330.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.