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Finding the Fourth Proportional to 543,547.82, 750,070.78 and 301,845.80

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Solution

The fourth proportional to 543,547.82, 750,070.78 and 301,845.80 is: 416,533.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,547.82 : 750,070.78 = 301,845.80 : x
  2. Step 2: Convert to fraction form
    543,547.82/750,070.78 = 301,845.80/x
  3. Step 3: Cross multiply
    543,547.82x = 750,070.78 × 301,845.80
  4. Step 4: Simplify right side
    543,547.82x = 226,405,710,140.76
  5. Step 5: Solve for x
    x = 226,405,710,140.76/543,547.82
  6. Step 6: Final answer
    x = 416,533.20

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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.