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Finding the Fourth Proportional to 597,017.56, 822,483 and 415,417.18

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Solution

The fourth proportional to 597,017.56, 822,483 and 415,417.18 is: 572,300.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,017.56 : 822,483 = 415,417.18 : x
  2. Step 2: Convert to fraction form
    597,017.56/822,483 = 415,417.18/x
  3. Step 3: Cross multiply
    597,017.56x = 822,483 × 415,417.18
  4. Step 4: Simplify right side
    597,017.56x = 341,673,568,457.94
  5. Step 5: Solve for x
    x = 341,673,568,457.94/597,017.56
  6. Step 6: Final answer
    x = 572,300.70

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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.