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Finding the Fourth Proportional to 315,913.61, 473,953.50 and 113,530.16

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Solution

The fourth proportional to 315,913.61, 473,953.50 and 113,530.16 is: 170,325.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,913.61 : 473,953.50 = 113,530.16 : x
  2. Step 2: Convert to fraction form
    315,913.61/473,953.50 = 113,530.16/x
  3. Step 3: Cross multiply
    315,913.61x = 473,953.50 × 113,530.16
  4. Step 4: Simplify right side
    315,913.61x = 53,808,016,687.56
  5. Step 5: Solve for x
    x = 53,808,016,687.56/315,913.61
  6. Step 6: Final answer
    x = 170,325.10

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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.