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Finding the Fourth Proportional to 556,465.68, 767,923.74 and 301,817.88

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Solution

The fourth proportional to 556,465.68, 767,923.74 and 301,817.88 is: 416,509.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,465.68 : 767,923.74 = 301,817.88 : x
  2. Step 2: Convert to fraction form
    556,465.68/767,923.74 = 301,817.88/x
  3. Step 3: Cross multiply
    556,465.68x = 767,923.74 × 301,817.88
  4. Step 4: Simplify right side
    556,465.68x = 231,773,115,208.47
  5. Step 5: Solve for x
    x = 231,773,115,208.47/556,465.68
  6. Step 6: Final answer
    x = 416,509.27

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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.