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Finding the Fourth Proportional to 509,298.01, 702,349.49 and 334,559.71

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Solution

The fourth proportional to 509,298.01, 702,349.49 and 334,559.71 is: 461,375.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,298.01 : 702,349.49 = 334,559.71 : x
  2. Step 2: Convert to fraction form
    509,298.01/702,349.49 = 334,559.71/x
  3. Step 3: Cross multiply
    509,298.01x = 702,349.49 × 334,559.71
  4. Step 4: Simplify right side
    509,298.01x = 234,977,840,208.58
  5. Step 5: Solve for x
    x = 234,977,840,208.58/509,298.01
  6. Step 6: Final answer
    x = 461,375.93

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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.