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Finding the Fourth Proportional to 315,646.30, 435,478.71 and 186,557.68

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Solution

The fourth proportional to 315,646.30, 435,478.71 and 186,557.68 is: 257,382.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,646.30 : 435,478.71 = 186,557.68 : x
  2. Step 2: Convert to fraction form
    315,646.30/435,478.71 = 186,557.68/x
  3. Step 3: Cross multiply
    315,646.30x = 435,478.71 × 186,557.68
  4. Step 4: Simplify right side
    315,646.30x = 81,241,897,826.99
  5. Step 5: Solve for x
    x = 81,241,897,826.99/315,646.30
  6. Step 6: Final answer
    x = 257,382.70

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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.