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Finding the Fourth Proportional to 463,312.74, 695,020.94 and 147,696.42

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Solution

The fourth proportional to 463,312.74, 695,020.94 and 147,696.42 is: 221,561.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,312.74 : 695,020.94 = 147,696.42 : x
  2. Step 2: Convert to fraction form
    463,312.74/695,020.94 = 147,696.42/x
  3. Step 3: Cross multiply
    463,312.74x = 695,020.94 × 147,696.42
  4. Step 4: Simplify right side
    463,312.74x = 102,652,104,663.04
  5. Step 5: Solve for x
    x = 102,652,104,663.04/463,312.74
  6. Step 6: Final answer
    x = 221,561.15

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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.