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Finding the Fourth Proportional to 507,894.48, 700,713.72 and 293,088.96

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Solution

The fourth proportional to 507,894.48, 700,713.72 and 293,088.96 is: 404,358.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,894.48 : 700,713.72 = 293,088.96 : x
  2. Step 2: Convert to fraction form
    507,894.48/700,713.72 = 293,088.96/x
  3. Step 3: Cross multiply
    507,894.48x = 700,713.72 × 293,088.96
  4. Step 4: Simplify right side
    507,894.48x = 205,371,455,452.53
  5. Step 5: Solve for x
    x = 205,371,455,452.53/507,894.48
  6. Step 6: Final answer
    x = 404,358.51

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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.