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Finding the Fourth Proportional to 705,194.16, 972,500.76 and 463,049.52

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Solution

The fourth proportional to 705,194.16, 972,500.76 and 463,049.52 is: 638,570.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,194.16 : 972,500.76 = 463,049.52 : x
  2. Step 2: Convert to fraction form
    705,194.16/972,500.76 = 463,049.52/x
  3. Step 3: Cross multiply
    705,194.16x = 972,500.76 × 463,049.52
  4. Step 4: Simplify right side
    705,194.16x = 450,316,010,117.64
  5. Step 5: Solve for x
    x = 450,316,010,117.64/705,194.16
  6. Step 6: Final answer
    x = 638,570.25

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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.