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Finding the Fourth Proportional to 409,536.68, 565,383.66 and 282,893.72

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Solution

The fourth proportional to 409,536.68, 565,383.66 and 282,893.72 is: 390,547.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,536.68 : 565,383.66 = 282,893.72 : x
  2. Step 2: Convert to fraction form
    409,536.68/565,383.66 = 282,893.72/x
  3. Step 3: Cross multiply
    409,536.68x = 565,383.66 × 282,893.72
  4. Step 4: Simplify right side
    409,536.68x = 159,943,486,804.62
  5. Step 5: Solve for x
    x = 159,943,486,804.62/409,536.68
  6. Step 6: Final answer
    x = 390,547.40

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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.