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Finding the Fourth Proportional to 610,101.14, 841,938.12 and 334,458.50

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Solution

The fourth proportional to 610,101.14, 841,938.12 and 334,458.50 is: 461,551.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,101.14 : 841,938.12 = 334,458.50 : x
  2. Step 2: Convert to fraction form
    610,101.14/841,938.12 = 334,458.50/x
  3. Step 3: Cross multiply
    610,101.14x = 841,938.12 × 334,458.50
  4. Step 4: Simplify right side
    610,101.14x = 281,593,362,812.87
  5. Step 5: Solve for x
    x = 281,593,362,812.87/610,101.14
  6. Step 6: Final answer
    x = 461,551.93

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1.5x scale

Why These Related Problems?

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