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Finding the Fourth Proportional to 337,913.84, 507,045.48 and 148,507.10

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Solution

The fourth proportional to 337,913.84, 507,045.48 and 148,507.10 is: 222,837.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,913.84 : 507,045.48 = 148,507.10 : x
  2. Step 2: Convert to fraction form
    337,913.84/507,045.48 = 148,507.10/x
  3. Step 3: Cross multiply
    337,913.84x = 507,045.48 × 148,507.10
  4. Step 4: Simplify right side
    337,913.84x = 75,299,855,070.52
  5. Step 5: Solve for x
    x = 75,299,855,070.52/337,913.84
  6. Step 6: Final answer
    x = 222,837.44

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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.