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Finding the Fourth Proportional to 542,681.88, 814,510.70 and 290,178.19

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Solution

The fourth proportional to 542,681.88, 814,510.70 and 290,178.19 is: 435,528.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,681.88 : 814,510.70 = 290,178.19 : x
  2. Step 2: Convert to fraction form
    542,681.88/814,510.70 = 290,178.19/x
  3. Step 3: Cross multiply
    542,681.88x = 814,510.70 × 290,178.19
  4. Step 4: Simplify right side
    542,681.88x = 236,353,240,661.63
  5. Step 5: Solve for x
    x = 236,353,240,661.63/542,681.88
  6. Step 6: Final answer
    x = 435,528.16

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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.