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Finding the Fourth Proportional to 473,745.51, 653,758.02 and 258,886.87

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Solution

The fourth proportional to 473,745.51, 653,758.02 and 258,886.87 is: 357,257.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,745.51 : 653,758.02 = 258,886.87 : x
  2. Step 2: Convert to fraction form
    473,745.51/653,758.02 = 258,886.87/x
  3. Step 3: Cross multiply
    473,745.51x = 653,758.02 × 258,886.87
  4. Step 4: Simplify right side
    473,745.51x = 169,249,365,900.80
  5. Step 5: Solve for x
    x = 169,249,365,900.80/473,745.51
  6. Step 6: Final answer
    x = 357,257.98

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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.