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Finding the Fourth Proportional to 294,637.60, 406,599.76 and 160,501.60

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Solution

The fourth proportional to 294,637.60, 406,599.76 and 160,501.60 is: 221,492.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,637.60 : 406,599.76 = 160,501.60 : x
  2. Step 2: Convert to fraction form
    294,637.60/406,599.76 = 160,501.60/x
  3. Step 3: Cross multiply
    294,637.60x = 406,599.76 × 160,501.60
  4. Step 4: Simplify right side
    294,637.60x = 65,259,912,039.62
  5. Step 5: Solve for x
    x = 65,259,912,039.62/294,637.60
  6. Step 6: Final answer
    x = 221,492.14

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1.5x scale

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.