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Finding the Fourth Proportional to 294,547.61, 406,476.09 and 167,223.21

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Solution

The fourth proportional to 294,547.61, 406,476.09 and 167,223.21 is: 230,768.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,547.61 : 406,476.09 = 167,223.21 : x
  2. Step 2: Convert to fraction form
    294,547.61/406,476.09 = 167,223.21/x
  3. Step 3: Cross multiply
    294,547.61x = 406,476.09 × 167,223.21
  4. Step 4: Simplify right side
    294,547.61x = 67,972,236,558.05
  5. Step 5: Solve for x
    x = 67,972,236,558.05/294,547.61
  6. Step 6: Final answer
    x = 230,768.25

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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.