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Finding the Fourth Proportional to 519,906.52, 717,460.50 and 293,547.16

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Solution

The fourth proportional to 519,906.52, 717,460.50 and 293,547.16 is: 405,089.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,906.52 : 717,460.50 = 293,547.16 : x
  2. Step 2: Convert to fraction form
    519,906.52/717,460.50 = 293,547.16/x
  3. Step 3: Cross multiply
    519,906.52x = 717,460.50 × 293,547.16
  4. Step 4: Simplify right side
    519,906.52x = 210,608,492,187.18
  5. Step 5: Solve for x
    x = 210,608,492,187.18/519,906.52
  6. Step 6: Final answer
    x = 405,089.15

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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.