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Finding the Fourth Proportional to 834,702, 1,151,888.76 and 477,006

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Solution

The fourth proportional to 834,702, 1,151,888.76 and 477,006 is: 658,268.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    834,702 : 1,151,888.76 = 477,006 : x
  2. Step 2: Convert to fraction form
    834,702/1,151,888.76 = 477,006/x
  3. Step 3: Cross multiply
    834,702x = 1,151,888.76 × 477,006
  4. Step 4: Simplify right side
    834,702x = 549,457,849,852.56
  5. Step 5: Solve for x
    x = 549,457,849,852.56/834,702
  6. Step 6: Final answer
    x = 658,268.28

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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.