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Finding the Fourth Proportional to 885,509, 1,328,263.50 and 294,533

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Solution

The fourth proportional to 885,509, 1,328,263.50 and 294,533 is: 441,799.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    885,509 : 1,328,263.50 = 294,533 : x
  2. Step 2: Convert to fraction form
    885,509/1,328,263.50 = 294,533/x
  3. Step 3: Cross multiply
    885,509x = 1,328,263.50 × 294,533
  4. Step 4: Simplify right side
    885,509x = 391,217,433,445.50
  5. Step 5: Solve for x
    x = 391,217,433,445.50/885,509
  6. Step 6: Final answer
    x = 441,799.50

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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.