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Finding the Fourth Proportional to 532,699.25, 735,097.93 and 290,935.51

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Solution

The fourth proportional to 532,699.25, 735,097.93 and 290,935.51 is: 401,476.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,699.25 : 735,097.93 = 290,935.51 : x
  2. Step 2: Convert to fraction form
    532,699.25/735,097.93 = 290,935.51/x
  3. Step 3: Cross multiply
    532,699.25x = 735,097.93 × 290,935.51
  4. Step 4: Simplify right side
    532,699.25x = 213,866,088,599.41
  5. Step 5: Solve for x
    x = 213,866,088,599.41/532,699.25
  6. Step 6: Final answer
    x = 401,476.24

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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.