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Finding the Fourth Proportional to 294,710.40, 406,684.80 and 160,574.40

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Solution

The fourth proportional to 294,710.40, 406,684.80 and 160,574.40 is: 221,584.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,710.40 : 406,684.80 = 160,574.40 : x
  2. Step 2: Convert to fraction form
    294,710.40/406,684.80 = 160,574.40/x
  3. Step 3: Cross multiply
    294,710.40x = 406,684.80 × 160,574.40
  4. Step 4: Simplify right side
    294,710.40x = 65,303,167,749.12
  5. Step 5: Solve for x
    x = 65,303,167,749.12/294,710.40
  6. Step 6: Final answer
    x = 221,584.20

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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.