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Finding the Fourth Proportional to 596,854.12, 894,482.62 and 292,783.40

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Solution

The fourth proportional to 596,854.12, 894,482.62 and 292,783.40 is: 438,783.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,854.12 : 894,482.62 = 292,783.40 : x
  2. Step 2: Convert to fraction form
    596,854.12/894,482.62 = 292,783.40/x
  3. Step 3: Cross multiply
    596,854.12x = 894,482.62 × 292,783.40
  4. Step 4: Simplify right side
    596,854.12x = 261,889,662,724.51
  5. Step 5: Solve for x
    x = 261,889,662,724.51/596,854.12
  6. Step 6: Final answer
    x = 438,783.37

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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.