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Finding the Fourth Proportional to 365,393.84, 547,312.08 and 175,575.20

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Solution

The fourth proportional to 365,393.84, 547,312.08 and 175,575.20 is: 262,988.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,393.84 : 547,312.08 = 175,575.20 : x
  2. Step 2: Convert to fraction form
    365,393.84/547,312.08 = 175,575.20/x
  3. Step 3: Cross multiply
    365,393.84x = 547,312.08 × 175,575.20
  4. Step 4: Simplify right side
    365,393.84x = 96,094,427,908.42
  5. Step 5: Solve for x
    x = 96,094,427,908.42/365,393.84
  6. Step 6: Final answer
    x = 262,988.64

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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.