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Finding the Fourth Proportional to 712,685.14, 983,505.69 and 390,406.78

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Solution

The fourth proportional to 712,685.14, 983,505.69 and 390,406.78 is: 538,761.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,685.14 : 983,505.69 = 390,406.78 : x
  2. Step 2: Convert to fraction form
    712,685.14/983,505.69 = 390,406.78/x
  3. Step 3: Cross multiply
    712,685.14x = 983,505.69 × 390,406.78
  4. Step 4: Simplify right side
    712,685.14x = 383,967,289,544.58
  5. Step 5: Solve for x
    x = 383,967,289,544.58/712,685.14
  6. Step 6: Final answer
    x = 538,761.46

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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.