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Finding the Fourth Proportional to 299,666.16, 413,538.04 and 165,530.16

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Solution

The fourth proportional to 299,666.16, 413,538.04 and 165,530.16 is: 228,430.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,666.16 : 413,538.04 = 165,530.16 : x
  2. Step 2: Convert to fraction form
    299,666.16/413,538.04 = 165,530.16/x
  3. Step 3: Cross multiply
    299,666.16x = 413,538.04 × 165,530.16
  4. Step 4: Simplify right side
    299,666.16x = 68,453,017,927.29
  5. Step 5: Solve for x
    x = 68,453,017,927.29/299,666.16
  6. Step 6: Final answer
    x = 228,430.92

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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.