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Finding the Fourth Proportional to 288,002.40, 432,003.60 and 218,018.40

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Solution

The fourth proportional to 288,002.40, 432,003.60 and 218,018.40 is: 327,027.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,002.40 : 432,003.60 = 218,018.40 : x
  2. Step 2: Convert to fraction form
    288,002.40/432,003.60 = 218,018.40/x
  3. Step 3: Cross multiply
    288,002.40x = 432,003.60 × 218,018.40
  4. Step 4: Simplify right side
    288,002.40x = 94,184,733,666.24
  5. Step 5: Solve for x
    x = 94,184,733,666.24/288,002.40
  6. Step 6: Final answer
    x = 327,027.60

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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.