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Finding the Fourth Proportional to 338,052.47, 507,000 and 158,261.94

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Solution

The fourth proportional to 338,052.47, 507,000 and 158,261.94 is: 237,356.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,052.47 : 507,000 = 158,261.94 : x
  2. Step 2: Convert to fraction form
    338,052.47/507,000 = 158,261.94/x
  3. Step 3: Cross multiply
    338,052.47x = 507,000 × 158,261.94
  4. Step 4: Simplify right side
    338,052.47x = 80,238,803,580
  5. Step 5: Solve for x
    x = 80,238,803,580/338,052.47
  6. Step 6: Final answer
    x = 237,356.06

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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.