Home / 749,359-1,034,116.23-409,828.06

Finding the Fourth Proportional to 749,359, 1,034,116.23 and 409,828.06

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Solution

The fourth proportional to 749,359, 1,034,116.23 and 409,828.06 is: 565,563.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    749,359 : 1,034,116.23 = 409,828.06 : x
  2. Step 2: Convert to fraction form
    749,359/1,034,116.23 = 409,828.06/x
  3. Step 3: Cross multiply
    749,359x = 1,034,116.23 × 409,828.06
  4. Step 4: Simplify right side
    749,359x = 423,809,848,355.41
  5. Step 5: Solve for x
    x = 423,809,848,355.41/749,359
  6. Step 6: Final answer
    x = 565,563.17

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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.