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Finding the Fourth Proportional to 430,055.40, 593,558.70 and 284,862.90

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Solution

The fourth proportional to 430,055.40, 593,558.70 and 284,862.90 is: 393,165.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,055.40 : 593,558.70 = 284,862.90 : x
  2. Step 2: Convert to fraction form
    430,055.40/593,558.70 = 284,862.90/x
  3. Step 3: Cross multiply
    430,055.40x = 593,558.70 × 284,862.90
  4. Step 4: Simplify right side
    430,055.40x = 169,082,852,602.23
  5. Step 5: Solve for x
    x = 169,082,852,602.23/430,055.40
  6. Step 6: Final answer
    x = 393,165.28

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1.5x scale

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.