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Finding the Fourth Proportional to 581,752.86, 802,157.04 and 409,615.80

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Solution

The fourth proportional to 581,752.86, 802,157.04 and 409,615.80 is: 564,803.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    581,752.86 : 802,157.04 = 409,615.80 : x
  2. Step 2: Convert to fraction form
    581,752.86/802,157.04 = 409,615.80/x
  3. Step 3: Cross multiply
    581,752.86x = 802,157.04 × 409,615.80
  4. Step 4: Simplify right side
    581,752.86x = 328,576,197,665.23
  5. Step 5: Solve for x
    x = 328,576,197,665.23/581,752.86
  6. Step 6: Final answer
    x = 564,803.75

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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.