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Finding the Fourth Proportional to 583,639.05, 805,726.31 and 414,277.77

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Solution

The fourth proportional to 583,639.05, 805,726.31 and 414,277.77 is: 571,919.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,639.05 : 805,726.31 = 414,277.77 : x
  2. Step 2: Convert to fraction form
    583,639.05/805,726.31 = 414,277.77/x
  3. Step 3: Cross multiply
    583,639.05x = 805,726.31 × 414,277.77
  4. Step 4: Simplify right side
    583,639.05x = 333,794,498,937.13
  5. Step 5: Solve for x
    x = 333,794,498,937.13/583,639.05
  6. Step 6: Final answer
    x = 571,919.41

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1.5x scale

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.