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Finding the Fourth Proportional to 473,662.94, 653,653.85 and 258,804.54

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Solution

The fourth proportional to 473,662.94, 653,653.85 and 258,804.54 is: 357,149.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,662.94 : 653,653.85 = 258,804.54 : x
  2. Step 2: Convert to fraction form
    473,662.94/653,653.85 = 258,804.54/x
  3. Step 3: Cross multiply
    473,662.94x = 653,653.85 × 258,804.54
  4. Step 4: Simplify right side
    473,662.94x = 169,168,582,674.46
  5. Step 5: Solve for x
    x = 169,168,582,674.46/473,662.94
  6. Step 6: Final answer
    x = 357,149.72

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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.