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Finding the Fourth Proportional to 556,946.08, 768,565 and 302,291.84

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Solution

The fourth proportional to 556,946.08, 768,565 and 302,291.84 is: 417,151.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,946.08 : 768,565 = 302,291.84 : x
  2. Step 2: Convert to fraction form
    556,946.08/768,565 = 302,291.84/x
  3. Step 3: Cross multiply
    556,946.08x = 768,565 × 302,291.84
  4. Step 4: Simplify right side
    556,946.08x = 232,330,928,009.60
  5. Step 5: Solve for x
    x = 232,330,928,009.60/556,946.08
  6. Step 6: Final answer
    x = 417,151.56

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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.