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Finding the Fourth Proportional to 316,404.48, 473,880.96 and 205,259.52

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Solution

The fourth proportional to 316,404.48, 473,880.96 and 205,259.52 is: 307,418.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,404.48 : 473,880.96 = 205,259.52 : x
  2. Step 2: Convert to fraction form
    316,404.48/473,880.96 = 205,259.52/x
  3. Step 3: Cross multiply
    316,404.48x = 473,880.96 × 205,259.52
  4. Step 4: Simplify right side
    316,404.48x = 97,268,578,386.74
  5. Step 5: Solve for x
    x = 97,268,578,386.74/316,404.48
  6. Step 6: Final answer
    x = 307,418.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.