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Finding the Fourth Proportional to 592,646.48, 817,857.90 and 320,720.02

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Solution

The fourth proportional to 592,646.48, 817,857.90 and 320,720.02 is: 442,596.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    592,646.48 : 817,857.90 = 320,720.02 : x
  2. Step 2: Convert to fraction form
    592,646.48/817,857.90 = 320,720.02/x
  3. Step 3: Cross multiply
    592,646.48x = 817,857.90 × 320,720.02
  4. Step 4: Simplify right side
    592,646.48x = 262,303,400,000.51
  5. Step 5: Solve for x
    x = 262,303,400,000.51/592,646.48
  6. Step 6: Final answer
    x = 442,596.74

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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.