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Finding the Fourth Proportional to 315,795, 473,925.78 and 149,583

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Solution

The fourth proportional to 315,795, 473,925.78 and 149,583 is: 224,485.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,795 : 473,925.78 = 149,583 : x
  2. Step 2: Convert to fraction form
    315,795/473,925.78 = 149,583/x
  3. Step 3: Cross multiply
    315,795x = 473,925.78 × 149,583
  4. Step 4: Simplify right side
    315,795x = 70,891,239,949.74
  5. Step 5: Solve for x
    x = 70,891,239,949.74/315,795
  6. Step 6: Final answer
    x = 224,485.00

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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.