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Finding the Fourth Proportional to 610,142.76, 841,908.60 and 338,210.57

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Solution

The fourth proportional to 610,142.76, 841,908.60 and 338,210.57 is: 466,681.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,142.76 : 841,908.60 = 338,210.57 : x
  2. Step 2: Convert to fraction form
    610,142.76/841,908.60 = 338,210.57/x
  3. Step 3: Cross multiply
    610,142.76x = 841,908.60 × 338,210.57
  4. Step 4: Simplify right side
    610,142.76x = 284,742,389,598.67
  5. Step 5: Solve for x
    x = 284,742,389,598.67/610,142.76
  6. Step 6: Final answer
    x = 466,681.58

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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.