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Finding the Fourth Proportional to 583,386, 805,073 and 315,114

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Solution

The fourth proportional to 583,386, 805,073 and 315,114 is: 434,857.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,386 : 805,073 = 315,114 : x
  2. Step 2: Convert to fraction form
    583,386/805,073 = 315,114/x
  3. Step 3: Cross multiply
    583,386x = 805,073 × 315,114
  4. Step 4: Simplify right side
    583,386x = 253,689,773,322
  5. Step 5: Solve for x
    x = 253,689,773,322/583,386
  6. Step 6: Final answer
    x = 434,857.49

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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.