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Finding the Fourth Proportional to 712,695.58, 983,535.74 and 406,765.78

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Solution

The fourth proportional to 712,695.58, 983,535.74 and 406,765.78 is: 561,345.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,695.58 : 983,535.74 = 406,765.78 : x
  2. Step 2: Convert to fraction form
    712,695.58/983,535.74 = 406,765.78/x
  3. Step 3: Cross multiply
    712,695.58x = 983,535.74 × 406,765.78
  4. Step 4: Simplify right side
    712,695.58x = 400,068,682,438.98
  5. Step 5: Solve for x
    x = 400,068,682,438.98/712,695.58
  6. Step 6: Final answer
    x = 561,345.82

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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.