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Finding the Fourth Proportional to 421,031.76, 581,017.04 and 230,041.04

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Solution

The fourth proportional to 421,031.76, 581,017.04 and 230,041.04 is: 317,452.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,031.76 : 581,017.04 = 230,041.04 : x
  2. Step 2: Convert to fraction form
    421,031.76/581,017.04 = 230,041.04/x
  3. Step 3: Cross multiply
    421,031.76x = 581,017.04 × 230,041.04
  4. Step 4: Simplify right side
    421,031.76x = 133,657,764,139.32
  5. Step 5: Solve for x
    x = 133,657,764,139.32/421,031.76
  6. Step 6: Final answer
    x = 317,452.93

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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.