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Finding the Fourth Proportional to 473,509.58, 653,418.23 and 258,646.54

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Solution

The fourth proportional to 473,509.58, 653,418.23 and 258,646.54 is: 356,918.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,509.58 : 653,418.23 = 258,646.54 : x
  2. Step 2: Convert to fraction form
    473,509.58/653,418.23 = 258,646.54/x
  3. Step 3: Cross multiply
    473,509.58x = 653,418.23 × 258,646.54
  4. Step 4: Simplify right side
    473,509.58x = 169,004,364,362.42
  5. Step 5: Solve for x
    x = 169,004,364,362.42/473,509.58
  6. Step 6: Final answer
    x = 356,918.57

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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.