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Finding the Fourth Proportional to 556,234.26, 767,598.66 and 314,564.28

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Solution

The fourth proportional to 556,234.26, 767,598.66 and 314,564.28 is: 434,096.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,234.26 : 767,598.66 = 314,564.28 : x
  2. Step 2: Convert to fraction form
    556,234.26/767,598.66 = 314,564.28/x
  3. Step 3: Cross multiply
    556,234.26x = 767,598.66 × 314,564.28
  4. Step 4: Simplify right side
    556,234.26x = 241,459,119,811.87
  5. Step 5: Solve for x
    x = 241,459,119,811.87/556,234.26
  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.