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Finding the Fourth Proportional to 546,706.83, 754,048.11 and 401,466.96

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Solution

The fourth proportional to 546,706.83, 754,048.11 and 401,466.96 is: 553,725.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,706.83 : 754,048.11 = 401,466.96 : x
  2. Step 2: Convert to fraction form
    546,706.83/754,048.11 = 401,466.96/x
  3. Step 3: Cross multiply
    546,706.83x = 754,048.11 × 401,466.96
  4. Step 4: Simplify right side
    546,706.83x = 302,725,402,415.45
  5. Step 5: Solve for x
    x = 302,725,402,415.45/546,706.83
  6. Step 6: Final answer
    x = 553,725.30

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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.