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Finding the Fourth Proportional to 500,945.48, 691,333.04 and 297,117.08

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Solution

The fourth proportional to 500,945.48, 691,333.04 and 297,117.08 is: 410,038.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,945.48 : 691,333.04 = 297,117.08 : x
  2. Step 2: Convert to fraction form
    500,945.48/691,333.04 = 297,117.08/x
  3. Step 3: Cross multiply
    500,945.48x = 691,333.04 × 297,117.08
  4. Step 4: Simplify right side
    500,945.48x = 205,406,854,152.32
  5. Step 5: Solve for x
    x = 205,406,854,152.32/500,945.48
  6. Step 6: Final answer
    x = 410,038.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.