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Finding the Fourth Proportional to 314,029.64, 470,973.71 and 89,385.10

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Solution

The fourth proportional to 314,029.64, 470,973.71 and 89,385.10 is: 134,057.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,029.64 : 470,973.71 = 89,385.10 : x
  2. Step 2: Convert to fraction form
    314,029.64/470,973.71 = 89,385.10/x
  3. Step 3: Cross multiply
    314,029.64x = 470,973.71 × 89,385.10
  4. Step 4: Simplify right side
    314,029.64x = 42,098,030,541.36
  5. Step 5: Solve for x
    x = 42,098,030,541.36/314,029.64
  6. Step 6: Final answer
    x = 134,057.51

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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.