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Finding the Fourth Proportional to 583,152.45, 805,020.54 and 411,210.51

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Solution

The fourth proportional to 583,152.45, 805,020.54 and 411,210.51 is: 567,661.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,152.45 : 805,020.54 = 411,210.51 : x
  2. Step 2: Convert to fraction form
    583,152.45/805,020.54 = 411,210.51/x
  3. Step 3: Cross multiply
    583,152.45x = 805,020.54 × 411,210.51
  4. Step 4: Simplify right side
    583,152.45x = 331,032,906,813.88
  5. Step 5: Solve for x
    x = 331,032,906,813.88/583,152.45
  6. Step 6: Final answer
    x = 567,661.01

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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.