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Finding the Fourth Proportional to 583,416, 875,124 and 140,184

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Solution

The fourth proportional to 583,416, 875,124 and 140,184 is: 210,276

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,416 : 875,124 = 140,184 : x
  2. Step 2: Convert to fraction form
    583,416/875,124 = 140,184/x
  3. Step 3: Cross multiply
    583,416x = 875,124 × 140,184
  4. Step 4: Simplify right side
    583,416x = 122,678,382,816
  5. Step 5: Solve for x
    x = 122,678,382,816/583,416
  6. Step 6: Final answer
    x = 210,276

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.