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Finding the Fourth Proportional to 364,530.96, 544,159.31 and 314,929.80

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Solution

The fourth proportional to 364,530.96, 544,159.31 and 314,929.80 is: 470,116.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,530.96 : 544,159.31 = 314,929.80 : x
  2. Step 2: Convert to fraction form
    364,530.96/544,159.31 = 314,929.80/x
  3. Step 3: Cross multiply
    364,530.96x = 544,159.31 × 314,929.80
  4. Step 4: Simplify right side
    364,530.96x = 171,371,981,091.79
  5. Step 5: Solve for x
    x = 171,371,981,091.79/364,530.96
  6. Step 6: Final answer
    x = 470,116.40

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.