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Finding the Fourth Proportional to 504,972.30, 697,114.28 and 314,047.20

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Solution

The fourth proportional to 504,972.30, 697,114.28 and 314,047.20 is: 433,542.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,972.30 : 697,114.28 = 314,047.20 : x
  2. Step 2: Convert to fraction form
    504,972.30/697,114.28 = 314,047.20/x
  3. Step 3: Cross multiply
    504,972.30x = 697,114.28 × 314,047.20
  4. Step 4: Simplify right side
    504,972.30x = 218,926,787,714.02
  5. Step 5: Solve for x
    x = 218,926,787,714.02/504,972.30
  6. Step 6: Final answer
    x = 433,542.17

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.