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Finding the Fourth Proportional to 583,670, 805,476.90 and 329,021.19

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Solution

The fourth proportional to 583,670, 805,476.90 and 329,021.19 is: 454,056.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,670 : 805,476.90 = 329,021.19 : x
  2. Step 2: Convert to fraction form
    583,670/805,476.90 = 329,021.19/x
  3. Step 3: Cross multiply
    583,670x = 805,476.90 × 329,021.19
  4. Step 4: Simplify right side
    583,670x = 265,018,968,155.51
  5. Step 5: Solve for x
    x = 265,018,968,155.51/583,670
  6. Step 6: Final answer
    x = 454,056.18

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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.