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Finding the Fourth Proportional to 362,714.84, 500,547.04 and 201,565.76

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Solution

The fourth proportional to 362,714.84, 500,547.04 and 201,565.76 is: 278,161.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,714.84 : 500,547.04 = 201,565.76 : x
  2. Step 2: Convert to fraction form
    362,714.84/500,547.04 = 201,565.76/x
  3. Step 3: Cross multiply
    362,714.84x = 500,547.04 × 201,565.76
  4. Step 4: Simplify right side
    362,714.84x = 100,893,144,533.35
  5. Step 5: Solve for x
    x = 100,893,144,533.35/362,714.84
  6. Step 6: Final answer
    x = 278,161.06

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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.