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Finding the Fourth Proportional to 421,075.38, 581,098.34 and 230,101.04

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Solution

The fourth proportional to 421,075.38, 581,098.34 and 230,101.04 is: 317,547.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,075.38 : 581,098.34 = 230,101.04 : x
  2. Step 2: Convert to fraction form
    421,075.38/581,098.34 = 230,101.04/x
  3. Step 3: Cross multiply
    421,075.38x = 581,098.34 × 230,101.04
  4. Step 4: Simplify right side
    421,075.38x = 133,711,332,376.27
  5. Step 5: Solve for x
    x = 133,711,332,376.27/421,075.38
  6. Step 6: Final answer
    x = 317,547.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.