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Finding the Fourth Proportional to 315,912.61, 473,952.00 and 113,529.16

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Solution

The fourth proportional to 315,912.61, 473,952.00 and 113,529.16 is: 170,323.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,912.61 : 473,952.00 = 113,529.16 : x
  2. Step 2: Convert to fraction form
    315,912.61/473,952.00 = 113,529.16/x
  3. Step 3: Cross multiply
    315,912.61x = 473,952.00 × 113,529.16
  4. Step 4: Simplify right side
    315,912.61x = 53,807,371,681.17
  5. Step 5: Solve for x
    x = 53,807,371,681.17/315,912.61
  6. Step 6: Final answer
    x = 170,323.60

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Why These Related Problems?

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