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Finding the Fourth Proportional to 314,167.56, 470,946.76 and 124,566

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Solution

The fourth proportional to 314,167.56, 470,946.76 and 124,566 is: 186,728.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,167.56 : 470,946.76 = 124,566 : x
  2. Step 2: Convert to fraction form
    314,167.56/470,946.76 = 124,566/x
  3. Step 3: Cross multiply
    314,167.56x = 470,946.76 × 124,566
  4. Step 4: Simplify right side
    314,167.56x = 58,663,954,106.16
  5. Step 5: Solve for x
    x = 58,663,954,106.16/314,167.56
  6. Step 6: Final answer
    x = 186,728.24

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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.