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Finding the Fourth Proportional to 473,673.18, 653,673.58 and 258,813.24

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Solution

The fourth proportional to 473,673.18, 653,673.58 and 258,813.24 is: 357,164.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,673.18 : 653,673.58 = 258,813.24 : x
  2. Step 2: Convert to fraction form
    473,673.18/653,673.58 = 258,813.24/x
  3. Step 3: Cross multiply
    473,673.18x = 653,673.58 × 258,813.24
  4. Step 4: Simplify right side
    473,673.18x = 169,179,374,043.89
  5. Step 5: Solve for x
    x = 169,179,374,043.89/473,673.18
  6. Step 6: Final answer
    x = 357,164.77

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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.