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Finding the Fourth Proportional to 473,567.21, 653,523.18 and 258,710.86

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Solution

The fourth proportional to 473,567.21, 653,523.18 and 258,710.86 is: 357,021.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,567.21 : 653,523.18 = 258,710.86 : x
  2. Step 2: Convert to fraction form
    473,567.21/653,523.18 = 258,710.86/x
  3. Step 3: Cross multiply
    473,567.21x = 653,523.18 × 258,710.86
  4. Step 4: Simplify right side
    473,567.21x = 169,073,543,927.74
  5. Step 5: Solve for x
    x = 169,073,543,927.74/473,567.21
  6. Step 6: Final answer
    x = 357,021.22

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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.