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Finding the Fourth Proportional to 376,900.38, 565,129.17 and 152,267.94

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Solution

The fourth proportional to 376,900.38, 565,129.17 and 152,267.94 is: 228,312.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,900.38 : 565,129.17 = 152,267.94 : x
  2. Step 2: Convert to fraction form
    376,900.38/565,129.17 = 152,267.94/x
  3. Step 3: Cross multiply
    376,900.38x = 565,129.17 × 152,267.94
  4. Step 4: Simplify right side
    376,900.38x = 86,051,054,549.81
  5. Step 5: Solve for x
    x = 86,051,054,549.81/376,900.38
  6. Step 6: Final answer
    x = 228,312.46

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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.