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Finding the Fourth Proportional to 614,838.60, 922,430.70 and 260,022.60

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Solution

The fourth proportional to 614,838.60, 922,430.70 and 260,022.60 is: 390,106.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,838.60 : 922,430.70 = 260,022.60 : x
  2. Step 2: Convert to fraction form
    614,838.60/922,430.70 = 260,022.60/x
  3. Step 3: Cross multiply
    614,838.60x = 922,430.70 × 260,022.60
  4. Step 4: Simplify right side
    614,838.60x = 239,852,828,933.82
  5. Step 5: Solve for x
    x = 239,852,828,933.82/614,838.60
  6. Step 6: Final answer
    x = 390,106.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.