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Finding the Fourth Proportional to 683,647.61, 942,633.48 and 465,985.16

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Solution

The fourth proportional to 683,647.61, 942,633.48 and 465,985.16 is: 642,514.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,647.61 : 942,633.48 = 465,985.16 : x
  2. Step 2: Convert to fraction form
    683,647.61/942,633.48 = 465,985.16/x
  3. Step 3: Cross multiply
    683,647.61x = 942,633.48 × 465,985.16
  4. Step 4: Simplify right side
    683,647.61x = 439,253,210,282.42
  5. Step 5: Solve for x
    x = 439,253,210,282.42/683,647.61
  6. Step 6: Final answer
    x = 642,514.07

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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.