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Finding the Fourth Proportional to 807,852.93, 1,114,771.47 and 468,343.05

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Solution

The fourth proportional to 807,852.93, 1,114,771.47 and 468,343.05 is: 646,275.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    807,852.93 : 1,114,771.47 = 468,343.05 : x
  2. Step 2: Convert to fraction form
    807,852.93/1,114,771.47 = 468,343.05/x
  3. Step 3: Cross multiply
    807,852.93x = 1,114,771.47 × 468,343.05
  4. Step 4: Simplify right side
    807,852.93x = 522,095,470,312.78
  5. Step 5: Solve for x
    x = 522,095,470,312.78/807,852.93
  6. Step 6: Final answer
    x = 646,275.39

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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.