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Finding the Fourth Proportional to 288,175.40, 432,263.10 and 148,207.40

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Solution

The fourth proportional to 288,175.40, 432,263.10 and 148,207.40 is: 222,311.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,175.40 : 432,263.10 = 148,207.40 : x
  2. Step 2: Convert to fraction form
    288,175.40/432,263.10 = 148,207.40/x
  3. Step 3: Cross multiply
    288,175.40x = 432,263.10 × 148,207.40
  4. Step 4: Simplify right side
    288,175.40x = 64,064,590,166.94
  5. Step 5: Solve for x
    x = 64,064,590,166.94/288,175.40
  6. Step 6: Final answer
    x = 222,311.10

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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.