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Finding the Fourth Proportional to 294,532.70, 406,457.07 and 167,210.42

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Solution

The fourth proportional to 294,532.70, 406,457.07 and 167,210.42 is: 230,751.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,532.70 : 406,457.07 = 167,210.42 : x
  2. Step 2: Convert to fraction form
    294,532.70/406,457.07 = 167,210.42/x
  3. Step 3: Cross multiply
    294,532.70x = 406,457.07 × 167,210.42
  4. Step 4: Simplify right side
    294,532.70x = 67,963,857,386.67
  5. Step 5: Solve for x
    x = 67,963,857,386.67/294,532.70
  6. Step 6: Final answer
    x = 230,751.48

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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.