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Finding the Fourth Proportional to 495,306.68, 742,441.47 and 207,283.34

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Solution

The fourth proportional to 495,306.68, 742,441.47 and 207,283.34 is: 310,708.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,306.68 : 742,441.47 = 207,283.34 : x
  2. Step 2: Convert to fraction form
    495,306.68/742,441.47 = 207,283.34/x
  3. Step 3: Cross multiply
    495,306.68x = 742,441.47 × 207,283.34
  4. Step 4: Simplify right side
    495,306.68x = 153,895,746,619.69
  5. Step 5: Solve for x
    x = 153,895,746,619.69/495,306.68
  6. Step 6: Final answer
    x = 310,708.00

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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.