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Finding the Fourth Proportional to 583,658.29, 805,311.31 and 354,210.47

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Solution

The fourth proportional to 583,658.29, 805,311.31 and 354,210.47 is: 488,727.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,658.29 : 805,311.31 = 354,210.47 : x
  2. Step 2: Convert to fraction form
    583,658.29/805,311.31 = 354,210.47/x
  3. Step 3: Cross multiply
    583,658.29x = 805,311.31 × 354,210.47
  4. Step 4: Simplify right side
    583,658.29x = 285,249,697,611.42
  5. Step 5: Solve for x
    x = 285,249,697,611.42/583,658.29
  6. Step 6: Final answer
    x = 488,727.23

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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.