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Finding the Fourth Proportional to 360,876.53, 497,965.93 and 207,964.83

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Solution

The fourth proportional to 360,876.53, 497,965.93 and 207,964.83 is: 286,966.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,876.53 : 497,965.93 = 207,964.83 : x
  2. Step 2: Convert to fraction form
    360,876.53/497,965.93 = 207,964.83/x
  3. Step 3: Cross multiply
    360,876.53x = 497,965.93 × 207,964.83
  4. Step 4: Simplify right side
    360,876.53x = 103,559,401,325.70
  5. Step 5: Solve for x
    x = 103,559,401,325.70/360,876.53
  6. Step 6: Final answer
    x = 286,966.29

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1.5x scale

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.