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Finding the Fourth Proportional to 584,031.25, 805,964.34 and 315,759.25

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Solution

The fourth proportional to 584,031.25, 805,964.34 and 315,759.25 is: 435,748.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,031.25 : 805,964.34 = 315,759.25 : x
  2. Step 2: Convert to fraction form
    584,031.25/805,964.34 = 315,759.25/x
  3. Step 3: Cross multiply
    584,031.25x = 805,964.34 × 315,759.25
  4. Step 4: Simplify right side
    584,031.25x = 254,490,695,525.15
  5. Step 5: Solve for x
    x = 254,490,695,525.15/584,031.25
  6. Step 6: Final answer
    x = 435,748.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.