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Finding the Fourth Proportional to 288,443.40, 432,665.10 and 164,027.40

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Solution

The fourth proportional to 288,443.40, 432,665.10 and 164,027.40 is: 246,041.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,443.40 : 432,665.10 = 164,027.40 : x
  2. Step 2: Convert to fraction form
    288,443.40/432,665.10 = 164,027.40/x
  3. Step 3: Cross multiply
    288,443.40x = 432,665.10 × 164,027.40
  4. Step 4: Simplify right side
    288,443.40x = 70,968,931,423.74
  5. Step 5: Solve for x
    x = 70,968,931,423.74/288,443.40
  6. Step 6: Final answer
    x = 246,041.10

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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.