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Finding the Fourth Proportional to 517,710.90, 714,301.56 and 302,903.76

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Solution

The fourth proportional to 517,710.90, 714,301.56 and 302,903.76 is: 417,925.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,710.90 : 714,301.56 = 302,903.76 : x
  2. Step 2: Convert to fraction form
    517,710.90/714,301.56 = 302,903.76/x
  3. Step 3: Cross multiply
    517,710.90x = 714,301.56 × 302,903.76
  4. Step 4: Simplify right side
    517,710.90x = 216,364,628,297.87
  5. Step 5: Solve for x
    x = 216,364,628,297.87/517,710.90
  6. Step 6: Final answer
    x = 417,925.58

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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.