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Finding the Fourth Proportional to 583,524, 805,263.12 and 315,252

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Solution

The fourth proportional to 583,524, 805,263.12 and 315,252 is: 435,047.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,524 : 805,263.12 = 315,252 : x
  2. Step 2: Convert to fraction form
    583,524/805,263.12 = 315,252/x
  3. Step 3: Cross multiply
    583,524x = 805,263.12 × 315,252
  4. Step 4: Simplify right side
    583,524x = 253,860,809,106.24
  5. Step 5: Solve for x
    x = 253,860,809,106.24/583,524
  6. Step 6: Final answer
    x = 435,047.76

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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.