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Finding the Fourth Proportional to 299,322.51, 413,010.67 and 176,834.83

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Solution

The fourth proportional to 299,322.51, 413,010.67 and 176,834.83 is: 243,999.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,322.51 : 413,010.67 = 176,834.83 : x
  2. Step 2: Convert to fraction form
    299,322.51/413,010.67 = 176,834.83/x
  3. Step 3: Cross multiply
    299,322.51x = 413,010.67 × 176,834.83
  4. Step 4: Simplify right side
    299,322.51x = 73,034,671,248.98
  5. Step 5: Solve for x
    x = 73,034,671,248.98/299,322.51
  6. Step 6: Final answer
    x = 243,999.93

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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.