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Finding the Fourth Proportional to 556,904.66, 768,528.75 and 302,255.84

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Solution

The fourth proportional to 556,904.66, 768,528.75 and 302,255.84 is: 417,113.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,904.66 : 768,528.75 = 302,255.84 : x
  2. Step 2: Convert to fraction form
    556,904.66/768,528.75 = 302,255.84/x
  3. Step 3: Cross multiply
    556,904.66x = 768,528.75 × 302,255.84
  4. Step 4: Simplify right side
    556,904.66x = 232,292,299,052.76
  5. Step 5: Solve for x
    x = 232,292,299,052.76/556,904.66
  6. Step 6: Final answer
    x = 417,113.23

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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.