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Finding the Fourth Proportional to 509,857.56, 763,291.08 and 357,526.44

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Solution

The fourth proportional to 509,857.56, 763,291.08 and 357,526.44 is: 535,241.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,857.56 : 763,291.08 = 357,526.44 : x
  2. Step 2: Convert to fraction form
    509,857.56/763,291.08 = 357,526.44/x
  3. Step 3: Cross multiply
    509,857.56x = 763,291.08 × 357,526.44
  4. Step 4: Simplify right side
    509,857.56x = 272,896,742,516.16
  5. Step 5: Solve for x
    x = 272,896,742,516.16/509,857.56
  6. Step 6: Final answer
    x = 535,241.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.