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Finding the Fourth Proportional to 585,029.40, 877,544.10 and 478,741.20

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Solution

The fourth proportional to 585,029.40, 877,544.10 and 478,741.20 is: 718,111.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,029.40 : 877,544.10 = 478,741.20 : x
  2. Step 2: Convert to fraction form
    585,029.40/877,544.10 = 478,741.20/x
  3. Step 3: Cross multiply
    585,029.40x = 877,544.10 × 478,741.20
  4. Step 4: Simplify right side
    585,029.40x = 420,116,515,486.92
  5. Step 5: Solve for x
    x = 420,116,515,486.92/585,029.40
  6. Step 6: Final answer
    x = 718,111.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.