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Finding the Fourth Proportional to 475,643.76, 713,089.24 and 235,587.70

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Solution

The fourth proportional to 475,643.76, 713,089.24 and 235,587.70 is: 353,195.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,643.76 : 713,089.24 = 235,587.70 : x
  2. Step 2: Convert to fraction form
    475,643.76/713,089.24 = 235,587.70/x
  3. Step 3: Cross multiply
    475,643.76x = 713,089.24 × 235,587.70
  4. Step 4: Simplify right side
    475,643.76x = 167,995,053,946.35
  5. Step 5: Solve for x
    x = 167,995,053,946.35/475,643.76
  6. Step 6: Final answer
    x = 353,195.12

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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.