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Finding the Fourth Proportional to 556,827.33, 768,421.68 and 302,178.51

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Solution

The fourth proportional to 556,827.33, 768,421.68 and 302,178.51 is: 417,006.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,827.33 : 768,421.68 = 302,178.51 : x
  2. Step 2: Convert to fraction form
    556,827.33/768,421.68 = 302,178.51/x
  3. Step 3: Cross multiply
    556,827.33x = 768,421.68 × 302,178.51
  4. Step 4: Simplify right side
    556,827.33x = 232,200,518,314.10
  5. Step 5: Solve for x
    x = 232,200,518,314.10/556,827.33
  6. Step 6: Final answer
    x = 417,006.32

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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.