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Finding the Fourth Proportional to 560,714.84, 841,031.58 and 219,094.04

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Solution

The fourth proportional to 560,714.84, 841,031.58 and 219,094.04 is: 328,625.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,714.84 : 841,031.58 = 219,094.04 : x
  2. Step 2: Convert to fraction form
    560,714.84/841,031.58 = 219,094.04/x
  3. Step 3: Cross multiply
    560,714.84x = 841,031.58 × 219,094.04
  4. Step 4: Simplify right side
    560,714.84x = 184,265,008,732.36
  5. Step 5: Solve for x
    x = 184,265,008,732.36/560,714.84
  6. Step 6: Final answer
    x = 328,625.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.