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Finding the Fourth Proportional to 294,594, 406,539.72 and 160,458

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Solution

The fourth proportional to 294,594, 406,539.72 and 160,458 is: 221,432.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,594 : 406,539.72 = 160,458 : x
  2. Step 2: Convert to fraction form
    294,594/406,539.72 = 160,458/x
  3. Step 3: Cross multiply
    294,594x = 406,539.72 × 160,458
  4. Step 4: Simplify right side
    294,594x = 65,232,550,391.76
  5. Step 5: Solve for x
    x = 65,232,550,391.76/294,594
  6. Step 6: Final answer
    x = 221,432.04

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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.