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Finding the Fourth Proportional to 509,814.16, 703,561.58 and 292,061.72

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Solution

The fourth proportional to 509,814.16, 703,561.58 and 292,061.72 is: 403,055.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,814.16 : 703,561.58 = 292,061.72 : x
  2. Step 2: Convert to fraction form
    509,814.16/703,561.58 = 292,061.72/x
  3. Step 3: Cross multiply
    509,814.16x = 703,561.58 × 292,061.72
  4. Step 4: Simplify right side
    509,814.16x = 205,483,405,180.72
  5. Step 5: Solve for x
    x = 205,483,405,180.72/509,814.16
  6. Step 6: Final answer
    x = 403,055.51

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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.