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Finding the Fourth Proportional to 314,587.02, 471,880.53 and 89,945.67

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Solution

The fourth proportional to 314,587.02, 471,880.53 and 89,945.67 is: 134,918.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,587.02 : 471,880.53 = 89,945.67 : x
  2. Step 2: Convert to fraction form
    314,587.02/471,880.53 = 89,945.67/x
  3. Step 3: Cross multiply
    314,587.02x = 471,880.53 × 89,945.67
  4. Step 4: Simplify right side
    314,587.02x = 42,443,609,981.08
  5. Step 5: Solve for x
    x = 42,443,609,981.08/314,587.02
  6. Step 6: Final answer
    x = 134,918.50

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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.