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Finding the Fourth Proportional to 456,477.10, 640,117.70 and 456,477.10

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Solution

The fourth proportional to 456,477.10, 640,117.70 and 456,477.10 is: 640,117.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,477.10 : 640,117.70 = 456,477.10 : x
  2. Step 2: Convert to fraction form
    456,477.10/640,117.70 = 456,477.10/x
  3. Step 3: Cross multiply
    456,477.10x = 640,117.70 × 456,477.10
  4. Step 4: Simplify right side
    456,477.10x = 292,199,071,354.67
  5. Step 5: Solve for x
    x = 292,199,071,354.67/456,477.10
  6. Step 6: Final answer
    x = 640,117.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.