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Finding the Fourth Proportional to 704,442.12, 972,130.13 and 402,642.60

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Solution

The fourth proportional to 704,442.12, 972,130.13 and 402,642.60 is: 555,646.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    704,442.12 : 972,130.13 = 402,642.60 : x
  2. Step 2: Convert to fraction form
    704,442.12/972,130.13 = 402,642.60/x
  3. Step 3: Cross multiply
    704,442.12x = 972,130.13 × 402,642.60
  4. Step 4: Simplify right side
    704,442.12x = 391,421,003,081.54
  5. Step 5: Solve for x
    x = 391,421,003,081.54/704,442.12
  6. Step 6: Final answer
    x = 555,646.79

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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.