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Finding the Fourth Proportional to 712,598.19, 983,111.89 and 406,691.56

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Solution

The fourth proportional to 712,598.19, 983,111.89 and 406,691.56 is: 561,078.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,598.19 : 983,111.89 = 406,691.56 : x
  2. Step 2: Convert to fraction form
    712,598.19/983,111.89 = 406,691.56/x
  3. Step 3: Cross multiply
    712,598.19x = 983,111.89 × 406,691.56
  4. Step 4: Simplify right side
    712,598.19x = 399,823,308,198.65
  5. Step 5: Solve for x
    x = 399,823,308,198.65/712,598.19
  6. Step 6: Final answer
    x = 561,078.20

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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.