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Finding the Fourth Proportional to 385,807.64, 578,130.29 and 343,763.02

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Solution

The fourth proportional to 385,807.64, 578,130.29 and 343,763.02 is: 515,126.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,807.64 : 578,130.29 = 343,763.02 : x
  2. Step 2: Convert to fraction form
    385,807.64/578,130.29 = 343,763.02/x
  3. Step 3: Cross multiply
    385,807.64x = 578,130.29 × 343,763.02
  4. Step 4: Simplify right side
    385,807.64x = 198,739,814,443.88
  5. Step 5: Solve for x
    x = 198,739,814,443.88/385,807.64
  6. Step 6: Final answer
    x = 515,126.69

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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.