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Finding the Fourth Proportional to 376,075.40, 564,242.70 and 165,864.20

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Solution

The fourth proportional to 376,075.40, 564,242.70 and 165,864.20 is: 248,853.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,075.40 : 564,242.70 = 165,864.20 : x
  2. Step 2: Convert to fraction form
    376,075.40/564,242.70 = 165,864.20/x
  3. Step 3: Cross multiply
    376,075.40x = 564,242.70 × 165,864.20
  4. Step 4: Simplify right side
    376,075.40x = 93,587,664,041.34
  5. Step 5: Solve for x
    x = 93,587,664,041.34/376,075.40
  6. Step 6: Final answer
    x = 248,853.46

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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.