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Finding the Fourth Proportional to 506,058.95, 697,909.06 and 419,881.51

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Solution

The fourth proportional to 506,058.95, 697,909.06 and 419,881.51 is: 579,061.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,058.95 : 697,909.06 = 419,881.51 : x
  2. Step 2: Convert to fraction form
    506,058.95/697,909.06 = 419,881.51/x
  3. Step 3: Cross multiply
    506,058.95x = 697,909.06 × 419,881.51
  4. Step 4: Simplify right side
    506,058.95x = 293,039,104,366.53
  5. Step 5: Solve for x
    x = 293,039,104,366.53/506,058.95
  6. Step 6: Final answer
    x = 579,061.21

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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.