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Finding the Fourth Proportional to 514,430.56, 709,678.28 and 333,200.75

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Solution

The fourth proportional to 514,430.56, 709,678.28 and 333,200.75 is: 459,664.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,430.56 : 709,678.28 = 333,200.75 : x
  2. Step 2: Convert to fraction form
    514,430.56/709,678.28 = 333,200.75/x
  3. Step 3: Cross multiply
    514,430.56x = 709,678.28 × 333,200.75
  4. Step 4: Simplify right side
    514,430.56x = 236,465,333,488.71
  5. Step 5: Solve for x
    x = 236,465,333,488.71/514,430.56
  6. Step 6: Final answer
    x = 459,664.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.