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Finding the Fourth Proportional to 288,094.84, 432,158.46 and 77,749.18

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Solution

The fourth proportional to 288,094.84, 432,158.46 and 77,749.18 is: 116,628.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,094.84 : 432,158.46 = 77,749.18 : x
  2. Step 2: Convert to fraction form
    288,094.84/432,158.46 = 77,749.18/x
  3. Step 3: Cross multiply
    288,094.84x = 432,158.46 × 77,749.18
  4. Step 4: Simplify right side
    288,094.84x = 33,599,965,895.06
  5. Step 5: Solve for x
    x = 33,599,965,895.06/288,094.84
  6. Step 6: Final answer
    x = 116,628.14

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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.