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Finding the Fourth Proportional to 583,470.16, 875,360.82 and 209,496.40

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Solution

The fourth proportional to 583,470.16, 875,360.82 and 209,496.40 is: 314,300.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,470.16 : 875,360.82 = 209,496.40 : x
  2. Step 2: Convert to fraction form
    583,470.16/875,360.82 = 209,496.40/x
  3. Step 3: Cross multiply
    583,470.16x = 875,360.82 × 209,496.40
  4. Step 4: Simplify right side
    583,470.16x = 183,384,940,491.05
  5. Step 5: Solve for x
    x = 183,384,940,491.05/583,470.16
  6. Step 6: Final answer
    x = 314,300.46

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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.