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Finding the Fourth Proportional to 473,852.40, 653,906.66 and 258,994.00

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Solution

The fourth proportional to 473,852.40, 653,906.66 and 258,994.00 is: 357,406.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,852.40 : 653,906.66 = 258,994.00 : x
  2. Step 2: Convert to fraction form
    473,852.40/653,906.66 = 258,994.00/x
  3. Step 3: Cross multiply
    473,852.40x = 653,906.66 × 258,994.00
  4. Step 4: Simplify right side
    473,852.40x = 169,357,901,496.03
  5. Step 5: Solve for x
    x = 169,357,901,496.03/473,852.40
  6. Step 6: Final answer
    x = 357,406.45

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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.