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Finding the Fourth Proportional to 343,106.90, 473,666.76 and 266,454.02

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Solution

The fourth proportional to 343,106.90, 473,666.76 and 266,454.02 is: 367,845.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,106.90 : 473,666.76 = 266,454.02 : x
  2. Step 2: Convert to fraction form
    343,106.90/473,666.76 = 266,454.02/x
  3. Step 3: Cross multiply
    343,106.90x = 473,666.76 × 266,454.02
  4. Step 4: Simplify right side
    343,106.90x = 126,210,412,342.38
  5. Step 5: Solve for x
    x = 126,210,412,342.38/343,106.90
  6. Step 6: Final answer
    x = 367,845.74

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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.