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Finding the Fourth Proportional to 473,887.40, 653,962.21 and 259,039.76

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Solution

The fourth proportional to 473,887.40, 653,962.21 and 259,039.76 is: 357,473.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,887.40 : 653,962.21 = 259,039.76 : x
  2. Step 2: Convert to fraction form
    473,887.40/653,962.21 = 259,039.76/x
  3. Step 3: Cross multiply
    473,887.40x = 653,962.21 × 259,039.76
  4. Step 4: Simplify right side
    473,887.40x = 169,402,210,010.06
  5. Step 5: Solve for x
    x = 169,402,210,010.06/473,887.40
  6. Step 6: Final answer
    x = 357,473.55

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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.