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Finding the Fourth Proportional to 600,735, 900,402.66 and 334,368.12

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Solution

The fourth proportional to 600,735, 900,402.66 and 334,368.12 is: 501,162.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,735 : 900,402.66 = 334,368.12 : x
  2. Step 2: Convert to fraction form
    600,735/900,402.66 = 334,368.12/x
  3. Step 3: Cross multiply
    600,735x = 900,402.66 × 334,368.12
  4. Step 4: Simplify right side
    600,735x = 301,065,944,667.20
  5. Step 5: Solve for x
    x = 301,065,944,667.20/600,735
  6. Step 6: Final answer
    x = 501,162.65

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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.