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Finding the Fourth Proportional to 562,530.83, 776,294.59 and 304,407.75

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Solution

The fourth proportional to 562,530.83, 776,294.59 and 304,407.75 is: 420,083.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,530.83 : 776,294.59 = 304,407.75 : x
  2. Step 2: Convert to fraction form
    562,530.83/776,294.59 = 304,407.75/x
  3. Step 3: Cross multiply
    562,530.83x = 776,294.59 × 304,407.75
  4. Step 4: Simplify right side
    562,530.83x = 236,310,092,060.69
  5. Step 5: Solve for x
    x = 236,310,092,060.69/562,530.83
  6. Step 6: Final answer
    x = 420,083.80

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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.