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Finding the Fourth Proportional to 503,894.71, 754,066.82 and 314,444.23

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Solution

The fourth proportional to 503,894.71, 754,066.82 and 314,444.23 is: 470,558.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,894.71 : 754,066.82 = 314,444.23 : x
  2. Step 2: Convert to fraction form
    503,894.71/754,066.82 = 314,444.23/x
  3. Step 3: Cross multiply
    503,894.71x = 754,066.82 × 314,444.23
  4. Step 4: Simplify right side
    503,894.71x = 237,111,963,726.02
  5. Step 5: Solve for x
    x = 237,111,963,726.02/503,894.71
  6. Step 6: Final answer
    x = 470,558.55

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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.