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Finding the Fourth Proportional to 583,410, 875,115 and 189,426

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Solution

The fourth proportional to 583,410, 875,115 and 189,426 is: 284,139

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,410 : 875,115 = 189,426 : x
  2. Step 2: Convert to fraction form
    583,410/875,115 = 189,426/x
  3. Step 3: Cross multiply
    583,410x = 875,115 × 189,426
  4. Step 4: Simplify right side
    583,410x = 165,769,533,990
  5. Step 5: Solve for x
    x = 165,769,533,990/583,410
  6. Step 6: Final answer
    x = 284,139

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