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Finding the Fourth Proportional to 312,307.80, 430,988.20 and 169,070.90

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Solution

The fourth proportional to 312,307.80, 430,988.20 and 169,070.90 is: 233,319.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,307.80 : 430,988.20 = 169,070.90 : x
  2. Step 2: Convert to fraction form
    312,307.80/430,988.20 = 169,070.90/x
  3. Step 3: Cross multiply
    312,307.80x = 430,988.20 × 169,070.90
  4. Step 4: Simplify right side
    312,307.80x = 72,867,562,863.38
  5. Step 5: Solve for x
    x = 72,867,562,863.38/312,307.80
  6. Step 6: Final answer
    x = 233,319.70

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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.