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Finding the Fourth Proportional to 556,334.55, 767,742.10 and 301,685.67

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Solution

The fourth proportional to 556,334.55, 767,742.10 and 301,685.67 is: 416,326.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,334.55 : 767,742.10 = 301,685.67 : x
  2. Step 2: Convert to fraction form
    556,334.55/767,742.10 = 301,685.67/x
  3. Step 3: Cross multiply
    556,334.55x = 767,742.10 × 301,685.67
  4. Step 4: Simplify right side
    556,334.55x = 231,616,789,071.49
  5. Step 5: Solve for x
    x = 231,616,789,071.49/556,334.55
  6. Step 6: Final answer
    x = 416,326.45

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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.