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Finding the Fourth Proportional to 315,474, 473,140.24 and 90,784.40

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Solution

The fourth proportional to 315,474, 473,140.24 and 90,784.40 is: 136,156.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,474 : 473,140.24 = 90,784.40 : x
  2. Step 2: Convert to fraction form
    315,474/473,140.24 = 90,784.40/x
  3. Step 3: Cross multiply
    315,474x = 473,140.24 × 90,784.40
  4. Step 4: Simplify right side
    315,474x = 42,953,752,804.26
  5. Step 5: Solve for x
    x = 42,953,752,804.26/315,474
  6. Step 6: Final answer
    x = 136,156.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.