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Finding the Fourth Proportional to 508,964.02, 702,402 and 282,611.14

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Solution

The fourth proportional to 508,964.02, 702,402 and 282,611.14 is: 390,020.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,964.02 : 702,402 = 282,611.14 : x
  2. Step 2: Convert to fraction form
    508,964.02/702,402 = 282,611.14/x
  3. Step 3: Cross multiply
    508,964.02x = 702,402 × 282,611.14
  4. Step 4: Simplify right side
    508,964.02x = 198,506,629,958.28
  5. Step 5: Solve for x
    x = 198,506,629,958.28/508,964.02
  6. Step 6: Final answer
    x = 390,020.95

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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.