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Finding the Fourth Proportional to 615,165.40, 921,711.30 and 298,941.40

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Solution

The fourth proportional to 615,165.40, 921,711.30 and 298,941.40 is: 447,908.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    615,165.40 : 921,711.30 = 298,941.40 : x
  2. Step 2: Convert to fraction form
    615,165.40/921,711.30 = 298,941.40/x
  3. Step 3: Cross multiply
    615,165.40x = 921,711.30 × 298,941.40
  4. Step 4: Simplify right side
    615,165.40x = 275,537,666,417.82
  5. Step 5: Solve for x
    x = 275,537,666,417.82/615,165.40
  6. Step 6: Final answer
    x = 447,908.26

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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.