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Finding the Fourth Proportional to 707,032.53, 975,534.75 and 416,655.96

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Solution

The fourth proportional to 707,032.53, 975,534.75 and 416,655.96 is: 574,884.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    707,032.53 : 975,534.75 = 416,655.96 : x
  2. Step 2: Convert to fraction form
    707,032.53/975,534.75 = 416,655.96/x
  3. Step 3: Cross multiply
    707,032.53x = 975,534.75 × 416,655.96
  4. Step 4: Simplify right side
    707,032.53x = 406,462,367,774.61
  5. Step 5: Solve for x
    x = 406,462,367,774.61/707,032.53
  6. Step 6: Final answer
    x = 574,884.96

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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.