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Finding the Fourth Proportional to 705,316.01, 973,355.40 and 414,948.02

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Solution

The fourth proportional to 705,316.01, 973,355.40 and 414,948.02 is: 572,639.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,316.01 : 973,355.40 = 414,948.02 : x
  2. Step 2: Convert to fraction form
    705,316.01/973,355.40 = 414,948.02/x
  3. Step 3: Cross multiply
    705,316.01x = 973,355.40 × 414,948.02
  4. Step 4: Simplify right side
    705,316.01x = 403,891,891,119.53
  5. Step 5: Solve for x
    x = 403,891,891,119.53/705,316.01
  6. Step 6: Final answer
    x = 572,639.62

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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.