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Finding the Fourth Proportional to 657,174.24, 906,482.88 and 430,834.32

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Solution

The fourth proportional to 657,174.24, 906,482.88 and 430,834.32 is: 594,277.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,174.24 : 906,482.88 = 430,834.32 : x
  2. Step 2: Convert to fraction form
    657,174.24/906,482.88 = 430,834.32/x
  3. Step 3: Cross multiply
    657,174.24x = 906,482.88 × 430,834.32
  4. Step 4: Simplify right side
    657,174.24x = 390,543,935,196.44
  5. Step 5: Solve for x
    x = 390,543,935,196.44/657,174.24
  6. Step 6: Final answer
    x = 594,277.61

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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.