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Finding the Fourth Proportional to 807,443, 1,114,271.36 and 468,108.08

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Solution

The fourth proportional to 807,443, 1,114,271.36 and 468,108.08 is: 645,989.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    807,443 : 1,114,271.36 = 468,108.08 : x
  2. Step 2: Convert to fraction form
    807,443/1,114,271.36 = 468,108.08/x
  3. Step 3: Cross multiply
    807,443x = 1,114,271.36 × 468,108.08
  4. Step 4: Simplify right side
    807,443x = 521,599,426,928.59
  5. Step 5: Solve for x
    x = 521,599,426,928.59/807,443
  6. Step 6: Final answer
    x = 645,989.16

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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.