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Finding the Fourth Proportional to 556,684.84, 768,225.12 and 302,036.02

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Solution

The fourth proportional to 556,684.84, 768,225.12 and 302,036.02 is: 416,809.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,684.84 : 768,225.12 = 302,036.02 : x
  2. Step 2: Convert to fraction form
    556,684.84/768,225.12 = 302,036.02/x
  3. Step 3: Cross multiply
    556,684.84x = 768,225.12 × 302,036.02
  4. Step 4: Simplify right side
    556,684.84x = 232,031,657,708.82
  5. Step 5: Solve for x
    x = 232,031,657,708.82/556,684.84
  6. Step 6: Final answer
    x = 416,809.73

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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.