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Finding the Fourth Proportional to 469,852.16, 648,386.76 and 265,899.28

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Solution

The fourth proportional to 469,852.16, 648,386.76 and 265,899.28 is: 366,935.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,852.16 : 648,386.76 = 265,899.28 : x
  2. Step 2: Convert to fraction form
    469,852.16/648,386.76 = 265,899.28/x
  3. Step 3: Cross multiply
    469,852.16x = 648,386.76 × 265,899.28
  4. Step 4: Simplify right side
    469,852.16x = 172,405,572,645.53
  5. Step 5: Solve for x
    x = 172,405,572,645.53/469,852.16
  6. Step 6: Final answer
    x = 366,935.79

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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.