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Finding the Fourth Proportional to 469,888.16, 648,438.71 and 265,977.74

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Solution

The fourth proportional to 469,888.16, 648,438.71 and 265,977.74 is: 367,045.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,888.16 : 648,438.71 = 265,977.74 : x
  2. Step 2: Convert to fraction form
    469,888.16/648,438.71 = 265,977.74/x
  3. Step 3: Cross multiply
    469,888.16x = 648,438.71 × 265,977.74
  4. Step 4: Simplify right side
    469,888.16x = 172,470,258,042.23
  5. Step 5: Solve for x
    x = 172,470,258,042.23/469,888.16
  6. Step 6: Final answer
    x = 367,045.34

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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.