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Finding the Fourth Proportional to 712,873.79, 983,728.23 and 406,938.02

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Solution

The fourth proportional to 712,873.79, 983,728.23 and 406,938.02 is: 561,553.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,873.79 : 983,728.23 = 406,938.02 : x
  2. Step 2: Convert to fraction form
    712,873.79/983,728.23 = 406,938.02/x
  3. Step 3: Cross multiply
    712,873.79x = 983,728.23 × 406,938.02
  4. Step 4: Simplify right side
    712,873.79x = 400,316,418,134.31
  5. Step 5: Solve for x
    x = 400,316,418,134.31/712,873.79
  6. Step 6: Final answer
    x = 561,553.00

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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.