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Finding the Fourth Proportional to 507,978.84, 762,094.96 and 358,511.09

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Solution

The fourth proportional to 507,978.84, 762,094.96 and 358,511.09 is: 537,856.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,978.84 : 762,094.96 = 358,511.09 : x
  2. Step 2: Convert to fraction form
    507,978.84/762,094.96 = 358,511.09/x
  3. Step 3: Cross multiply
    507,978.84x = 762,094.96 × 358,511.09
  4. Step 4: Simplify right side
    507,978.84x = 273,219,495,802.07
  5. Step 5: Solve for x
    x = 273,219,495,802.07/507,978.84
  6. Step 6: Final answer
    x = 537,856.06

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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.