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Finding the Fourth Proportional to 516,969.54, 713,312.33 and 302,068.07

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Solution

The fourth proportional to 516,969.54, 713,312.33 and 302,068.07 is: 416,792.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,969.54 : 713,312.33 = 302,068.07 : x
  2. Step 2: Convert to fraction form
    516,969.54/713,312.33 = 302,068.07/x
  3. Step 3: Cross multiply
    516,969.54x = 713,312.33 × 302,068.07
  4. Step 4: Simplify right side
    516,969.54x = 215,468,876,428.32
  5. Step 5: Solve for x
    x = 215,468,876,428.32/516,969.54
  6. Step 6: Final answer
    x = 416,792.21

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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.