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Finding the Fourth Proportional to 595,088.52, 821,782.64 and 414,294.81

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Solution

The fourth proportional to 595,088.52, 821,782.64 and 414,294.81 is: 572,117.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,088.52 : 821,782.64 = 414,294.81 : x
  2. Step 2: Convert to fraction form
    595,088.52/821,782.64 = 414,294.81/x
  3. Step 3: Cross multiply
    595,088.52x = 821,782.64 × 414,294.81
  4. Step 4: Simplify right side
    595,088.52x = 340,460,282,700.10
  5. Step 5: Solve for x
    x = 340,460,282,700.10/595,088.52
  6. Step 6: Final answer
    x = 572,117.04

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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.