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Finding the Fourth Proportional to 742,513.96, 1,114,302 and 316,348.46

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Solution

The fourth proportional to 742,513.96, 1,114,302 and 316,348.46 is: 474,748.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    742,513.96 : 1,114,302 = 316,348.46 : x
  2. Step 2: Convert to fraction form
    742,513.96/1,114,302 = 316,348.46/x
  3. Step 3: Cross multiply
    742,513.96x = 1,114,302 × 316,348.46
  4. Step 4: Simplify right side
    742,513.96x = 352,507,721,674.92
  5. Step 5: Solve for x
    x = 352,507,721,674.92/742,513.96
  6. Step 6: Final answer
    x = 474,748.95

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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.