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Finding the Fourth Proportional to 517,907.68, 714,780.72 and 291,597.28

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Solution

The fourth proportional to 517,907.68, 714,780.72 and 291,597.28 is: 402,442.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,907.68 : 714,780.72 = 291,597.28 : x
  2. Step 2: Convert to fraction form
    517,907.68/714,780.72 = 291,597.28/x
  3. Step 3: Cross multiply
    517,907.68x = 714,780.72 × 291,597.28
  4. Step 4: Simplify right side
    517,907.68x = 208,428,113,748.44
  5. Step 5: Solve for x
    x = 208,428,113,748.44/517,907.68
  6. Step 6: Final answer
    x = 402,442.60

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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.