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Finding the Fourth Proportional to 514,666.02, 710,267.46 and 285,218.48

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Solution

The fourth proportional to 514,666.02, 710,267.46 and 285,218.48 is: 393,617.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,666.02 : 710,267.46 = 285,218.48 : x
  2. Step 2: Convert to fraction form
    514,666.02/710,267.46 = 285,218.48/x
  3. Step 3: Cross multiply
    514,666.02x = 710,267.46 × 285,218.48
  4. Step 4: Simplify right side
    514,666.02x = 202,581,405,334.66
  5. Step 5: Solve for x
    x = 202,581,405,334.66/514,666.02
  6. Step 6: Final answer
    x = 393,617.21

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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.