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Finding the Fourth Proportional to 507,724.81, 761,713.88 and 358,257.33

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Solution

The fourth proportional to 507,724.81, 761,713.88 and 358,257.33 is: 537,475.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,724.81 : 761,713.88 = 358,257.33 : x
  2. Step 2: Convert to fraction form
    507,724.81/761,713.88 = 358,257.33/x
  3. Step 3: Cross multiply
    507,724.81x = 761,713.88 × 358,257.33
  4. Step 4: Simplify right side
    507,724.81x = 272,889,579,081.45
  5. Step 5: Solve for x
    x = 272,889,579,081.45/507,724.81
  6. Step 6: Final answer
    x = 537,475.37

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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.