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Finding the Fourth Proportional to 564,301.68, 778,734.18 and 309,657.12

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Solution

The fourth proportional to 564,301.68, 778,734.18 and 309,657.12 is: 427,325.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,301.68 : 778,734.18 = 309,657.12 : x
  2. Step 2: Convert to fraction form
    564,301.68/778,734.18 = 309,657.12/x
  3. Step 3: Cross multiply
    564,301.68x = 778,734.18 × 309,657.12
  4. Step 4: Simplify right side
    564,301.68x = 241,140,583,424.36
  5. Step 5: Solve for x
    x = 241,140,583,424.36/564,301.68
  6. Step 6: Final answer
    x = 427,325.65

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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.