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Finding the Fourth Proportional to 473,783.82, 653,866.75 and 258,956.18

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Solution

The fourth proportional to 473,783.82, 653,866.75 and 258,956.18 is: 357,384.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,783.82 : 653,866.75 = 258,956.18 : x
  2. Step 2: Convert to fraction form
    473,783.82/653,866.75 = 258,956.18/x
  3. Step 3: Cross multiply
    473,783.82x = 653,866.75 × 258,956.18
  4. Step 4: Simplify right side
    473,783.82x = 169,322,835,124.19
  5. Step 5: Solve for x
    x = 169,322,835,124.19/473,783.82
  6. Step 6: Final answer
    x = 357,384.17

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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.