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Finding the Fourth Proportional to 502,510.40, 705,380.80 and 502,510.40

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Solution

The fourth proportional to 502,510.40, 705,380.80 and 502,510.40 is: 705,380.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,510.40 : 705,380.80 = 502,510.40 : x
  2. Step 2: Convert to fraction form
    502,510.40/705,380.80 = 502,510.40/x
  3. Step 3: Cross multiply
    502,510.40x = 705,380.80 × 502,510.40
  4. Step 4: Simplify right side
    502,510.40x = 354,461,187,960.32
  5. Step 5: Solve for x
    x = 354,461,187,960.32/502,510.40
  6. Step 6: Final answer
    x = 705,380.80

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.