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Finding the Fourth Proportional to 712,323.64, 983,006.38 and 390,033.64

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Solution

The fourth proportional to 712,323.64, 983,006.38 and 390,033.64 is: 538,246.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,323.64 : 983,006.38 = 390,033.64 : x
  2. Step 2: Convert to fraction form
    712,323.64/983,006.38 = 390,033.64/x
  3. Step 3: Cross multiply
    712,323.64x = 983,006.38 × 390,033.64
  4. Step 4: Simplify right side
    712,323.64x = 383,405,556,534.62
  5. Step 5: Solve for x
    x = 383,405,556,534.62/712,323.64
  6. Step 6: Final answer
    x = 538,246.29

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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.