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Finding the Fourth Proportional to 402,643.14, 555,626.16 and 221,320.18

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Solution

The fourth proportional to 402,643.14, 555,626.16 and 221,320.18 is: 305,410.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,643.14 : 555,626.16 = 221,320.18 : x
  2. Step 2: Convert to fraction form
    402,643.14/555,626.16 = 221,320.18/x
  3. Step 3: Cross multiply
    402,643.14x = 555,626.16 × 221,320.18
  4. Step 4: Simplify right side
    402,643.14x = 122,971,281,743.91
  5. Step 5: Solve for x
    x = 122,971,281,743.91/402,643.14
  6. Step 6: Final answer
    x = 305,410.10

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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.