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Finding the Fourth Proportional to 474,582, 712,047.96 and 249,933.36

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Solution

The fourth proportional to 474,582, 712,047.96 and 249,933.36 is: 374,992.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,582 : 712,047.96 = 249,933.36 : x
  2. Step 2: Convert to fraction form
    474,582/712,047.96 = 249,933.36/x
  3. Step 3: Cross multiply
    474,582x = 712,047.96 × 249,933.36
  4. Step 4: Simplify right side
    474,582x = 177,964,539,123.95
  5. Step 5: Solve for x
    x = 177,964,539,123.95/474,582
  6. Step 6: Final answer
    x = 374,992.18

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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.