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Finding the Fourth Proportional to 512,350.56, 705,478.59 and 464,291.24

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Solution

The fourth proportional to 512,350.56, 705,478.59 and 464,291.24 is: 639,303.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,350.56 : 705,478.59 = 464,291.24 : x
  2. Step 2: Convert to fraction form
    512,350.56/705,478.59 = 464,291.24/x
  3. Step 3: Cross multiply
    512,350.56x = 705,478.59 × 464,291.24
  4. Step 4: Simplify right side
    512,350.56x = 327,547,525,817.16
  5. Step 5: Solve for x
    x = 327,547,525,817.16/512,350.56
  6. Step 6: Final answer
    x = 639,303.54

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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.