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Finding the Fourth Proportional to 294,430.88, 406,314.63 and 160,294.88

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Solution

The fourth proportional to 294,430.88, 406,314.63 and 160,294.88 is: 221,206.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,430.88 : 406,314.63 = 160,294.88 : x
  2. Step 2: Convert to fraction form
    294,430.88/406,314.63 = 160,294.88/x
  3. Step 3: Cross multiply
    294,430.88x = 406,314.63 × 160,294.88
  4. Step 4: Simplify right side
    294,430.88x = 65,130,152,826.52
  5. Step 5: Solve for x
    x = 65,130,152,826.52/294,430.88
  6. Step 6: Final answer
    x = 221,206.94

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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.