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Finding the Fourth Proportional to 601,894.58, 902,064.27 and 286,448.18

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Solution

The fourth proportional to 601,894.58, 902,064.27 and 286,448.18 is: 429,302.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,894.58 : 902,064.27 = 286,448.18 : x
  2. Step 2: Convert to fraction form
    601,894.58/902,064.27 = 286,448.18/x
  3. Step 3: Cross multiply
    601,894.58x = 902,064.27 × 286,448.18
  4. Step 4: Simplify right side
    601,894.58x = 258,394,668,384.53
  5. Step 5: Solve for x
    x = 258,394,668,384.53/601,894.58
  6. Step 6: Final answer
    x = 429,302.20

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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.