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Finding the Fourth Proportional to 562,587.85, 776,364.91 and 307,936

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Solution

The fourth proportional to 562,587.85, 776,364.91 and 307,936 is: 424,948.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,587.85 : 776,364.91 = 307,936 : x
  2. Step 2: Convert to fraction form
    562,587.85/776,364.91 = 307,936/x
  3. Step 3: Cross multiply
    562,587.85x = 776,364.91 × 307,936
  4. Step 4: Simplify right side
    562,587.85x = 239,070,704,925.76
  5. Step 5: Solve for x
    x = 239,070,704,925.76/562,587.85
  6. Step 6: Final answer
    x = 424,948.22

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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.