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Finding the Fourth Proportional to 401,574.47, 602,302.45 and 117,188.66

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Solution

The fourth proportional to 401,574.47, 602,302.45 and 117,188.66 is: 175,765.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,574.47 : 602,302.45 = 117,188.66 : x
  2. Step 2: Convert to fraction form
    401,574.47/602,302.45 = 117,188.66/x
  3. Step 3: Cross multiply
    401,574.47x = 602,302.45 × 117,188.66
  4. Step 4: Simplify right side
    401,574.47x = 70,583,013,432.76
  5. Step 5: Solve for x
    x = 70,583,013,432.76/401,574.47
  6. Step 6: Final answer
    x = 175,765.69

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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.