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Finding the Fourth Proportional to 314,412.90, 471,322.89 and 156,492.06

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Solution

The fourth proportional to 314,412.90, 471,322.89 and 156,492.06 is: 234,590.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,412.90 : 471,322.89 = 156,492.06 : x
  2. Step 2: Convert to fraction form
    314,412.90/471,322.89 = 156,492.06/x
  3. Step 3: Cross multiply
    314,412.90x = 471,322.89 × 156,492.06
  4. Step 4: Simplify right side
    314,412.90x = 73,758,289,981.25
  5. Step 5: Solve for x
    x = 73,758,289,981.25/314,412.90
  6. Step 6: Final answer
    x = 234,590.53

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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.