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Finding the Fourth Proportional to 516,938.16, 713,407.32 and 290,598.24

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Solution

The fourth proportional to 516,938.16, 713,407.32 and 290,598.24 is: 401,043.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,938.16 : 713,407.32 = 290,598.24 : x
  2. Step 2: Convert to fraction form
    516,938.16/713,407.32 = 290,598.24/x
  3. Step 3: Cross multiply
    516,938.16x = 713,407.32 × 290,598.24
  4. Step 4: Simplify right side
    516,938.16x = 207,314,911,595.12
  5. Step 5: Solve for x
    x = 207,314,911,595.12/516,938.16
  6. Step 6: Final answer
    x = 401,043.93

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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.