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Finding the Fourth Proportional to 368,043.48, 507,897.14 and 204,701.48

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Solution

The fourth proportional to 368,043.48, 507,897.14 and 204,701.48 is: 282,486.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,043.48 : 507,897.14 = 204,701.48 : x
  2. Step 2: Convert to fraction form
    368,043.48/507,897.14 = 204,701.48/x
  3. Step 3: Cross multiply
    368,043.48x = 507,897.14 × 204,701.48
  4. Step 4: Simplify right side
    368,043.48x = 103,967,294,587.39
  5. Step 5: Solve for x
    x = 103,967,294,587.39/368,043.48
  6. Step 6: Final answer
    x = 282,486.45

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1.5x scale

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.