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Finding the Fourth Proportional to 511,822.76, 767,111.54 and 362,106.23

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Solution

The fourth proportional to 511,822.76, 767,111.54 and 362,106.23 is: 542,718.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,822.76 : 767,111.54 = 362,106.23 : x
  2. Step 2: Convert to fraction form
    511,822.76/767,111.54 = 362,106.23/x
  3. Step 3: Cross multiply
    511,822.76x = 767,111.54 × 362,106.23
  4. Step 4: Simplify right side
    511,822.76x = 277,775,862,092.81
  5. Step 5: Solve for x
    x = 277,775,862,092.81/511,822.76
  6. Step 6: Final answer
    x = 542,718.86

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.