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Finding the Fourth Proportional to 294,593.50, 406,539.03 and 160,457.50

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Solution

The fourth proportional to 294,593.50, 406,539.03 and 160,457.50 is: 221,431.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,593.50 : 406,539.03 = 160,457.50 : x
  2. Step 2: Convert to fraction form
    294,593.50/406,539.03 = 160,457.50/x
  3. Step 3: Cross multiply
    294,593.50x = 406,539.03 × 160,457.50
  4. Step 4: Simplify right side
    294,593.50x = 65,232,236,406.23
  5. Step 5: Solve for x
    x = 65,232,236,406.23/294,593.50
  6. Step 6: Final answer
    x = 221,431.35

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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.