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Finding the Fourth Proportional to 289,095.40, 433,643.10 and 268,100.20

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Solution

The fourth proportional to 289,095.40, 433,643.10 and 268,100.20 is: 402,150.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,095.40 : 433,643.10 = 268,100.20 : x
  2. Step 2: Convert to fraction form
    289,095.40/433,643.10 = 268,100.20/x
  3. Step 3: Cross multiply
    289,095.40x = 433,643.10 × 268,100.20
  4. Step 4: Simplify right side
    289,095.40x = 116,259,801,838.62
  5. Step 5: Solve for x
    x = 116,259,801,838.62/289,095.40
  6. Step 6: Final answer
    x = 402,150.30

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1.5x scale

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.