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Finding the Fourth Proportional to 456,412.93, 629,637.71 and 295,319.93

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Solution

The fourth proportional to 456,412.93, 629,637.71 and 295,319.93 is: 407,404.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,412.93 : 629,637.71 = 295,319.93 : x
  2. Step 2: Convert to fraction form
    456,412.93/629,637.71 = 295,319.93/x
  3. Step 3: Cross multiply
    456,412.93x = 629,637.71 × 295,319.93
  4. Step 4: Simplify right side
    456,412.93x = 185,944,559,817.77
  5. Step 5: Solve for x
    x = 185,944,559,817.77/456,412.93
  6. Step 6: Final answer
    x = 407,404.24

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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.