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Finding the Fourth Proportional to 514,304.12, 709,735.02 and 287,953.40

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Solution

The fourth proportional to 514,304.12, 709,735.02 and 287,953.40 is: 397,373.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,304.12 : 709,735.02 = 287,953.40 : x
  2. Step 2: Convert to fraction form
    514,304.12/709,735.02 = 287,953.40/x
  3. Step 3: Cross multiply
    514,304.12x = 709,735.02 × 287,953.40
  4. Step 4: Simplify right side
    514,304.12x = 204,370,612,108.07
  5. Step 5: Solve for x
    x = 204,370,612,108.07/514,304.12
  6. Step 6: Final answer
    x = 397,373.08

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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.