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Finding the Fourth Proportional to 413,881.19, 571,206.77 and 232,600.76

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Solution

The fourth proportional to 413,881.19, 571,206.77 and 232,600.76 is: 321,017.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,881.19 : 571,206.77 = 232,600.76 : x
  2. Step 2: Convert to fraction form
    413,881.19/571,206.77 = 232,600.76/x
  3. Step 3: Cross multiply
    413,881.19x = 571,206.77 × 232,600.76
  4. Step 4: Simplify right side
    413,881.19x = 132,863,124,800.11
  5. Step 5: Solve for x
    x = 132,863,124,800.11/413,881.19
  6. Step 6: Final answer
    x = 321,017.55

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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.