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Finding the Fourth Proportional to 556,234.27, 767,598.65 and 314,564.29

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Solution

The fourth proportional to 556,234.27, 767,598.65 and 314,564.29 is: 434,096.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,234.27 : 767,598.65 = 314,564.29 : x
  2. Step 2: Convert to fraction form
    556,234.27/767,598.65 = 314,564.29/x
  3. Step 3: Cross multiply
    556,234.27x = 767,598.65 × 314,564.29
  4. Step 4: Simplify right side
    556,234.27x = 241,459,124,342.21
  5. Step 5: Solve for x
    x = 241,459,124,342.21/556,234.27
  6. Step 6: Final answer
    x = 434,096.09

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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.