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Finding the Fourth Proportional to 294,628.86, 406,587.87 and 160,492.86

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Solution

The fourth proportional to 294,628.86, 406,587.87 and 160,492.86 is: 221,480.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,628.86 : 406,587.87 = 160,492.86 : x
  2. Step 2: Convert to fraction form
    294,628.86/406,587.87 = 160,492.86/x
  3. Step 3: Cross multiply
    294,628.86x = 406,587.87 × 160,492.86
  4. Step 4: Simplify right side
    294,628.86x = 65,254,450,097.61
  5. Step 5: Solve for x
    x = 65,254,450,097.61/294,628.86
  6. Step 6: Final answer
    x = 221,480.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.