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Finding the Fourth Proportional to 314,337.63, 471,510.78 and 89,698.01

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Solution

The fourth proportional to 314,337.63, 471,510.78 and 89,698.01 is: 134,548.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,337.63 : 471,510.78 = 89,698.01 : x
  2. Step 2: Convert to fraction form
    314,337.63/471,510.78 = 89,698.01/x
  3. Step 3: Cross multiply
    314,337.63x = 471,510.78 × 89,698.01
  4. Step 4: Simplify right side
    314,337.63x = 42,293,576,301.99
  5. Step 5: Solve for x
    x = 42,293,576,301.99/314,337.63
  6. Step 6: Final answer
    x = 134,548.24

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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.