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Finding the Fourth Proportional to 517,906.68, 714,779.34 and 291,596.28

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Solution

The fourth proportional to 517,906.68, 714,779.34 and 291,596.28 is: 402,441.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,906.68 : 714,779.34 = 291,596.28 : x
  2. Step 2: Convert to fraction form
    517,906.68/714,779.34 = 291,596.28/x
  3. Step 3: Cross multiply
    517,906.68x = 714,779.34 × 291,596.28
  4. Step 4: Simplify right side
    517,906.68x = 208,426,996,564.86
  5. Step 5: Solve for x
    x = 208,426,996,564.86/517,906.68
  6. Step 6: Final answer
    x = 402,441.22

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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.