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Finding the Fourth Proportional to 598,214.40, 896,009.40 and 519,482.40

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Solution

The fourth proportional to 598,214.40, 896,009.40 and 519,482.40 is: 778,084.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,214.40 : 896,009.40 = 519,482.40 : x
  2. Step 2: Convert to fraction form
    598,214.40/896,009.40 = 519,482.40/x
  3. Step 3: Cross multiply
    598,214.40x = 896,009.40 × 519,482.40
  4. Step 4: Simplify right side
    598,214.40x = 465,461,113,534.56
  5. Step 5: Solve for x
    x = 465,461,113,534.56/598,214.40
  6. Step 6: Final answer
    x = 778,084.10

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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.