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Finding the Fourth Proportional to 564,065.54, 778,284.57 and 334,506.20

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Solution

The fourth proportional to 564,065.54, 778,284.57 and 334,506.20 is: 461,543.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,065.54 : 778,284.57 = 334,506.20 : x
  2. Step 2: Convert to fraction form
    564,065.54/778,284.57 = 334,506.20/x
  3. Step 3: Cross multiply
    564,065.54x = 778,284.57 × 334,506.20
  4. Step 4: Simplify right side
    564,065.54x = 260,341,014,029.33
  5. Step 5: Solve for x
    x = 260,341,014,029.33/564,065.54
  6. Step 6: Final answer
    x = 461,543.91

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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.